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Finding the Fourth Proportional to 616.10, 922.80 and 453.29

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Solution

The fourth proportional to 616.10, 922.80 and 453.29 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.10 : 922.80 = 453.29 : x
  2. Step 2: Convert to fraction form
    616.10/922.80 = 453.29/x
  3. Step 3: Cross multiply
    616.10x = 922.80 × 453.29
  4. Step 4: Simplify right side
    616.10x = 418,296.01
  5. Step 5: Solve for x
    x = 418,296.01/616.10
  6. Step 6: Final answer
    x = 678.94

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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.