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Finding the Fourth Proportional to 882.92, 1,215.65 and 749.86

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Solution

The fourth proportional to 882.92, 1,215.65 and 749.86 is: 1,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.92 : 1,215.65 = 749.86 : x
  2. Step 2: Convert to fraction form
    882.92/1,215.65 = 749.86/x
  3. Step 3: Cross multiply
    882.92x = 1,215.65 × 749.86
  4. Step 4: Simplify right side
    882.92x = 911,566.14
  5. Step 5: Solve for x
    x = 911,566.14/882.92
  6. Step 6: Final answer
    x = 1,032.44

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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.