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Finding the Fourth Proportional to 560.28, 772.33 and 394.04

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Solution

The fourth proportional to 560.28, 772.33 and 394.04 is: 543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.28 : 772.33 = 394.04 : x
  2. Step 2: Convert to fraction form
    560.28/772.33 = 394.04/x
  3. Step 3: Cross multiply
    560.28x = 772.33 × 394.04
  4. Step 4: Simplify right side
    560.28x = 304,328.91
  5. Step 5: Solve for x
    x = 304,328.91/560.28
  6. Step 6: Final answer
    x = 543.17

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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.