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Finding the Fourth Proportional to 560.80, 773.91 and 312.13

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Solution

The fourth proportional to 560.80, 773.91 and 312.13 is: 430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.80 : 773.91 = 312.13 : x
  2. Step 2: Convert to fraction form
    560.80/773.91 = 312.13/x
  3. Step 3: Cross multiply
    560.80x = 773.91 × 312.13
  4. Step 4: Simplify right side
    560.80x = 241,555.10
  5. Step 5: Solve for x
    x = 241,555.10/560.80
  6. Step 6: Final answer
    x = 430.74

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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.