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Finding the Fourth Proportional to 882.92, 1,217.76 and 830.60

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Solution

The fourth proportional to 882.92, 1,217.76 and 830.60 is: 1,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.92 : 1,217.76 = 830.60 : x
  2. Step 2: Convert to fraction form
    882.92/1,217.76 = 830.60/x
  3. Step 3: Cross multiply
    882.92x = 1,217.76 × 830.60
  4. Step 4: Simplify right side
    882.92x = 1,011,471.46
  5. Step 5: Solve for x
    x = 1,011,471.46/882.92
  6. Step 6: Final answer
    x = 1,145.60

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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.