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Finding the Fourth Proportional to 616.97, 851.57 and 355.14

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Solution

The fourth proportional to 616.97, 851.57 and 355.14 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.97 : 851.57 = 355.14 : x
  2. Step 2: Convert to fraction form
    616.97/851.57 = 355.14/x
  3. Step 3: Cross multiply
    616.97x = 851.57 × 355.14
  4. Step 4: Simplify right side
    616.97x = 302,424.79
  5. Step 5: Solve for x
    x = 302,424.79/616.97
  6. Step 6: Final answer
    x = 490.18

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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.