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Finding the Fourth Proportional to 659.52, 909.90 and 397.44

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Solution

The fourth proportional to 659.52, 909.90 and 397.44 is: 548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 909.90 = 397.44 : x
  2. Step 2: Convert to fraction form
    659.52/909.90 = 397.44/x
  3. Step 3: Cross multiply
    659.52x = 909.90 × 397.44
  4. Step 4: Simplify right side
    659.52x = 361,630.66
  5. Step 5: Solve for x
    x = 361,630.66/659.52
  6. Step 6: Final answer
    x = 548.32

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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.