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Finding the Fourth Proportional to 658.74, 909.14 and 410.30

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Solution

The fourth proportional to 658.74, 909.14 and 410.30 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.74 : 909.14 = 410.30 : x
  2. Step 2: Convert to fraction form
    658.74/909.14 = 410.30/x
  3. Step 3: Cross multiply
    658.74x = 909.14 × 410.30
  4. Step 4: Simplify right side
    658.74x = 373,020.14
  5. Step 5: Solve for x
    x = 373,020.14/658.74
  6. Step 6: Final answer
    x = 566.26

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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.