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Finding the Fourth Proportional to 1,031.02, 1,546.92 and 916.33

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Solution

The fourth proportional to 1,031.02, 1,546.92 and 916.33 is: 1,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.02 : 1,546.92 = 916.33 : x
  2. Step 2: Convert to fraction form
    1,031.02/1,546.92 = 916.33/x
  3. Step 3: Cross multiply
    1,031.02x = 1,546.92 × 916.33
  4. Step 4: Simplify right side
    1,031.02x = 1,417,489.20
  5. Step 5: Solve for x
    x = 1,417,489.20/1,031.02
  6. Step 6: Final answer
    x = 1,374.84

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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.