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Finding the Fourth Proportional to 882.52, 1,215.39 and 733.80

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Solution

The fourth proportional to 882.52, 1,215.39 and 733.80 is: 1,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.52 : 1,215.39 = 733.80 : x
  2. Step 2: Convert to fraction form
    882.52/1,215.39 = 733.80/x
  3. Step 3: Cross multiply
    882.52x = 1,215.39 × 733.80
  4. Step 4: Simplify right side
    882.52x = 891,853.18
  5. Step 5: Solve for x
    x = 891,853.18/882.52
  6. Step 6: Final answer
    x = 1,010.58

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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.