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Finding the Fourth Proportional to 658.48, 906.60 and 526.72

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Solution

The fourth proportional to 658.48, 906.60 and 526.72 is: 725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.48 : 906.60 = 526.72 : x
  2. Step 2: Convert to fraction form
    658.48/906.60 = 526.72/x
  3. Step 3: Cross multiply
    658.48x = 906.60 × 526.72
  4. Step 4: Simplify right side
    658.48x = 477,524.35
  5. Step 5: Solve for x
    x = 477,524.35/658.48
  6. Step 6: Final answer
    x = 725.19

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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.