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Finding the Fourth Proportional to 616.61, 929.07 and 550.29

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Solution

The fourth proportional to 616.61, 929.07 and 550.29 is: 829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.61 : 929.07 = 550.29 : x
  2. Step 2: Convert to fraction form
    616.61/929.07 = 550.29/x
  3. Step 3: Cross multiply
    616.61x = 929.07 × 550.29
  4. Step 4: Simplify right side
    616.61x = 511,257.93
  5. Step 5: Solve for x
    x = 511,257.93/616.61
  6. Step 6: Final answer
    x = 829.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.