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Finding the Fourth Proportional to 882.12, 1,217.52 and 532.92

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Solution

The fourth proportional to 882.12, 1,217.52 and 532.92 is: 735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,217.52 = 532.92 : x
  2. Step 2: Convert to fraction form
    882.12/1,217.52 = 532.92/x
  3. Step 3: Cross multiply
    882.12x = 1,217.52 × 532.92
  4. Step 4: Simplify right side
    882.12x = 648,840.76
  5. Step 5: Solve for x
    x = 648,840.76/882.12
  6. Step 6: Final answer
    x = 735.55

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1.5x scale

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.