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Finding the Fourth Proportional to 560.86, 774.02 and 312.19

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Solution

The fourth proportional to 560.86, 774.02 and 312.19 is: 430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 774.02 = 312.19 : x
  2. Step 2: Convert to fraction form
    560.86/774.02 = 312.19/x
  3. Step 3: Cross multiply
    560.86x = 774.02 × 312.19
  4. Step 4: Simplify right side
    560.86x = 241,640.15
  5. Step 5: Solve for x
    x = 241,640.15/560.86
  6. Step 6: Final answer
    x = 430.84

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Double scale
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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.