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Finding the Fourth Proportional to 882.39, 1,320.99 and 652.31

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Solution

The fourth proportional to 882.39, 1,320.99 and 652.31 is: 976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.39 : 1,320.99 = 652.31 : x
  2. Step 2: Convert to fraction form
    882.39/1,320.99 = 652.31/x
  3. Step 3: Cross multiply
    882.39x = 1,320.99 × 652.31
  4. Step 4: Simplify right side
    882.39x = 861,685.12
  5. Step 5: Solve for x
    x = 861,685.12/882.39
  6. Step 6: Final answer
    x = 976.54

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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.