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Finding the Fourth Proportional to 1,191.16, 1,789.17 and 916.30

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Solution

The fourth proportional to 1,191.16, 1,789.17 and 916.30 is: 1,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.16 : 1,789.17 = 916.30 : x
  2. Step 2: Convert to fraction form
    1,191.16/1,789.17 = 916.30/x
  3. Step 3: Cross multiply
    1,191.16x = 1,789.17 × 916.30
  4. Step 4: Simplify right side
    1,191.16x = 1,639,416.47
  5. Step 5: Solve for x
    x = 1,639,416.47/1,191.16
  6. Step 6: Final answer
    x = 1,376.32

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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.