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Finding the Fourth Proportional to 658.44, 907.26 and 526.92

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Solution

The fourth proportional to 658.44, 907.26 and 526.92 is: 726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.44 : 907.26 = 526.92 : x
  2. Step 2: Convert to fraction form
    658.44/907.26 = 526.92/x
  3. Step 3: Cross multiply
    658.44x = 907.26 × 526.92
  4. Step 4: Simplify right side
    658.44x = 478,053.44
  5. Step 5: Solve for x
    x = 478,053.44/658.44
  6. Step 6: Final answer
    x = 726.04

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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.