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Finding the Fourth Proportional to 616.61, 922.79 and 433.15

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Solution

The fourth proportional to 616.61, 922.79 and 433.15 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.61 : 922.79 = 433.15 : x
  2. Step 2: Convert to fraction form
    616.61/922.79 = 433.15/x
  3. Step 3: Cross multiply
    616.61x = 922.79 × 433.15
  4. Step 4: Simplify right side
    616.61x = 399,705.26
  5. Step 5: Solve for x
    x = 399,705.26/616.61
  6. Step 6: Final answer
    x = 648.23

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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.