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Finding the Fourth Proportional to 658.68, 909.42 and 410.10

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Solution

The fourth proportional to 658.68, 909.42 and 410.10 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 909.42 = 410.10 : x
  2. Step 2: Convert to fraction form
    658.68/909.42 = 410.10/x
  3. Step 3: Cross multiply
    658.68x = 909.42 × 410.10
  4. Step 4: Simplify right side
    658.68x = 372,953.14
  5. Step 5: Solve for x
    x = 372,953.14/658.68
  6. Step 6: Final answer
    x = 566.21

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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.