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Finding the Fourth Proportional to 658.58, 909.21 and 519.17

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Solution

The fourth proportional to 658.58, 909.21 and 519.17 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.58 : 909.21 = 519.17 : x
  2. Step 2: Convert to fraction form
    658.58/909.21 = 519.17/x
  3. Step 3: Cross multiply
    658.58x = 909.21 × 519.17
  4. Step 4: Simplify right side
    658.58x = 472,030.01
  5. Step 5: Solve for x
    x = 472,030.01/658.58
  6. Step 6: Final answer
    x = 716.74

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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.