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Finding the Fourth Proportional to 610.60, 842.75 and 414.17

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Solution

The fourth proportional to 610.60, 842.75 and 414.17 is: 571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.60 : 842.75 = 414.17 : x
  2. Step 2: Convert to fraction form
    610.60/842.75 = 414.17/x
  3. Step 3: Cross multiply
    610.60x = 842.75 × 414.17
  4. Step 4: Simplify right side
    610.60x = 349,044.91
  5. Step 5: Solve for x
    x = 349,044.91/610.60
  6. Step 6: Final answer
    x = 571.64

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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.