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Finding the Fourth Proportional to 1,414.17, 1,950.92 and 916.94

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Solution

The fourth proportional to 1,414.17, 1,950.92 and 916.94 is: 1,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.17 : 1,950.92 = 916.94 : x
  2. Step 2: Convert to fraction form
    1,414.17/1,950.92 = 916.94/x
  3. Step 3: Cross multiply
    1,414.17x = 1,950.92 × 916.94
  4. Step 4: Simplify right side
    1,414.17x = 1,788,862.25
  5. Step 5: Solve for x
    x = 1,788,862.25/1,414.17
  6. Step 6: Final answer
    x = 1,264.96

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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.