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Finding the Fourth Proportional to 916.57, 1,374.17 and 684.20

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Solution

The fourth proportional to 916.57, 1,374.17 and 684.20 is: 1,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.57 : 1,374.17 = 684.20 : x
  2. Step 2: Convert to fraction form
    916.57/1,374.17 = 684.20/x
  3. Step 3: Cross multiply
    916.57x = 1,374.17 × 684.20
  4. Step 4: Simplify right side
    916.57x = 940,199.40
  5. Step 5: Solve for x
    x = 940,199.40/916.57
  6. Step 6: Final answer
    x = 1,025.79

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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.