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Finding the Fourth Proportional to 881.49, 1,320.52 and 515.52

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Solution

The fourth proportional to 881.49, 1,320.52 and 515.52 is: 772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.49 : 1,320.52 = 515.52 : x
  2. Step 2: Convert to fraction form
    881.49/1,320.52 = 515.52/x
  3. Step 3: Cross multiply
    881.49x = 1,320.52 × 515.52
  4. Step 4: Simplify right side
    881.49x = 680,754.47
  5. Step 5: Solve for x
    x = 680,754.47/881.49
  6. Step 6: Final answer
    x = 772.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.