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Finding the Fourth Proportional to 882.45, 1,217.57 and 686.52

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Solution

The fourth proportional to 882.45, 1,217.57 and 686.52 is: 947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.45 : 1,217.57 = 686.52 : x
  2. Step 2: Convert to fraction form
    882.45/1,217.57 = 686.52/x
  3. Step 3: Cross multiply
    882.45x = 1,217.57 × 686.52
  4. Step 4: Simplify right side
    882.45x = 835,882.72
  5. Step 5: Solve for x
    x = 835,882.72/882.45
  6. Step 6: Final answer
    x = 947.23

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1.5x scale

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.