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Finding the Fourth Proportional to 916.54, 1,375.72 and 505.87

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Solution

The fourth proportional to 916.54, 1,375.72 and 505.87 is: 759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.54 : 1,375.72 = 505.87 : x
  2. Step 2: Convert to fraction form
    916.54/1,375.72 = 505.87/x
  3. Step 3: Cross multiply
    916.54x = 1,375.72 × 505.87
  4. Step 4: Simplify right side
    916.54x = 695,930.77
  5. Step 5: Solve for x
    x = 695,930.77/916.54
  6. Step 6: Final answer
    x = 759.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.