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Finding the Fourth Proportional to 659.30, 909.52 and 437.98

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Solution

The fourth proportional to 659.30, 909.52 and 437.98 is: 604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 909.52 = 437.98 : x
  2. Step 2: Convert to fraction form
    659.30/909.52 = 437.98/x
  3. Step 3: Cross multiply
    659.30x = 909.52 × 437.98
  4. Step 4: Simplify right side
    659.30x = 398,351.57
  5. Step 5: Solve for x
    x = 398,351.57/659.30
  6. Step 6: Final answer
    x = 604.20

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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.