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Finding the Fourth Proportional to 616.55, 922.70 and 382.19

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Solution

The fourth proportional to 616.55, 922.70 and 382.19 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.55 : 922.70 = 382.19 : x
  2. Step 2: Convert to fraction form
    616.55/922.70 = 382.19/x
  3. Step 3: Cross multiply
    616.55x = 922.70 × 382.19
  4. Step 4: Simplify right side
    616.55x = 352,646.71
  5. Step 5: Solve for x
    x = 352,646.71/616.55
  6. Step 6: Final answer
    x = 571.97

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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.