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Finding the Fourth Proportional to 616.55, 924.50 and 454.34

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Solution

The fourth proportional to 616.55, 924.50 and 454.34 is: 681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.55 : 924.50 = 454.34 : x
  2. Step 2: Convert to fraction form
    616.55/924.50 = 454.34/x
  3. Step 3: Cross multiply
    616.55x = 924.50 × 454.34
  4. Step 4: Simplify right side
    616.55x = 420,030.44
  5. Step 5: Solve for x
    x = 420,030.44/616.55
  6. Step 6: Final answer
    x = 681.26

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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.