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Finding the Fourth Proportional to 616.85, 851.25 and 337.09

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Solution

The fourth proportional to 616.85, 851.25 and 337.09 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.85 : 851.25 = 337.09 : x
  2. Step 2: Convert to fraction form
    616.85/851.25 = 337.09/x
  3. Step 3: Cross multiply
    616.85x = 851.25 × 337.09
  4. Step 4: Simplify right side
    616.85x = 286,948.59
  5. Step 5: Solve for x
    x = 286,948.59/616.85
  6. Step 6: Final answer
    x = 465.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.