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Finding the Fourth Proportional to 1,263.28, 1,895.28 and 916.96

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Solution

The fourth proportional to 1,263.28, 1,895.28 and 916.96 is: 1,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.28 : 1,895.28 = 916.96 : x
  2. Step 2: Convert to fraction form
    1,263.28/1,895.28 = 916.96/x
  3. Step 3: Cross multiply
    1,263.28x = 1,895.28 × 916.96
  4. Step 4: Simplify right side
    1,263.28x = 1,737,895.95
  5. Step 5: Solve for x
    x = 1,737,895.95/1,263.28
  6. Step 6: Final answer
    x = 1,375.70

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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.