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Finding the Fourth Proportional to 560.76, 773.80 and 312.04

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Solution

The fourth proportional to 560.76, 773.80 and 312.04 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.80 = 312.04 : x
  2. Step 2: Convert to fraction form
    560.76/773.80 = 312.04/x
  3. Step 3: Cross multiply
    560.76x = 773.80 × 312.04
  4. Step 4: Simplify right side
    560.76x = 241,456.55
  5. Step 5: Solve for x
    x = 241,456.55/560.76
  6. Step 6: Final answer
    x = 430.59

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Find fourth proportional to 280.38, 386.90 and 156.02
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.