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Finding the Fourth Proportional to 916.11, 1,374.17 and 505.14

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Solution

The fourth proportional to 916.11, 1,374.17 and 505.14 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.11 : 1,374.17 = 505.14 : x
  2. Step 2: Convert to fraction form
    916.11/1,374.17 = 505.14/x
  3. Step 3: Cross multiply
    916.11x = 1,374.17 × 505.14
  4. Step 4: Simplify right side
    916.11x = 694,140.55
  5. Step 5: Solve for x
    x = 694,140.55/916.11
  6. Step 6: Final answer
    x = 757.70

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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.