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Finding the Fourth Proportional to 616.67, 929.16 and 550.35

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Solution

The fourth proportional to 616.67, 929.16 and 550.35 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.67 : 929.16 = 550.35 : x
  2. Step 2: Convert to fraction form
    616.67/929.16 = 550.35/x
  3. Step 3: Cross multiply
    616.67x = 929.16 × 550.35
  4. Step 4: Simplify right side
    616.67x = 511,363.21
  5. Step 5: Solve for x
    x = 511,363.21/616.67
  6. Step 6: Final answer
    x = 829.23

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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.