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Finding the Fourth Proportional to 1,031.35, 1,423.29 and 632.97

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Solution

The fourth proportional to 1,031.35, 1,423.29 and 632.97 is: 873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.35 : 1,423.29 = 632.97 : x
  2. Step 2: Convert to fraction form
    1,031.35/1,423.29 = 632.97/x
  3. Step 3: Cross multiply
    1,031.35x = 1,423.29 × 632.97
  4. Step 4: Simplify right side
    1,031.35x = 900,892.75
  5. Step 5: Solve for x
    x = 900,892.75/1,031.35
  6. Step 6: Final answer
    x = 873.51

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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.