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Finding the Fourth Proportional to 616.28, 924.56 and 506.78

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Solution

The fourth proportional to 616.28, 924.56 and 506.78 is: 760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 924.56 = 506.78 : x
  2. Step 2: Convert to fraction form
    616.28/924.56 = 506.78/x
  3. Step 3: Cross multiply
    616.28x = 924.56 × 506.78
  4. Step 4: Simplify right side
    616.28x = 468,548.52
  5. Step 5: Solve for x
    x = 468,548.52/616.28
  6. Step 6: Final answer
    x = 760.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.