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Finding the Fourth Proportional to 658.78, 909.53 and 410.46

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Solution

The fourth proportional to 658.78, 909.53 and 410.46 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.78 : 909.53 = 410.46 : x
  2. Step 2: Convert to fraction form
    658.78/909.53 = 410.46/x
  3. Step 3: Cross multiply
    658.78x = 909.53 × 410.46
  4. Step 4: Simplify right side
    658.78x = 373,326.71
  5. Step 5: Solve for x
    x = 373,326.71/658.78
  6. Step 6: Final answer
    x = 566.70

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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.