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Finding the Fourth Proportional to 1,351.90, 2,024.65 and 916.70

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Solution

The fourth proportional to 1,351.90, 2,024.65 and 916.70 is: 1,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.90 : 2,024.65 = 916.70 : x
  2. Step 2: Convert to fraction form
    1,351.90/2,024.65 = 916.70/x
  3. Step 3: Cross multiply
    1,351.90x = 2,024.65 × 916.70
  4. Step 4: Simplify right side
    1,351.90x = 1,855,996.66
  5. Step 5: Solve for x
    x = 1,855,996.66/1,351.90
  6. Step 6: Final answer
    x = 1,372.88

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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.