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Finding the Fourth Proportional to 1,691.57, 2,328.80 and 1,454.64

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Solution

The fourth proportional to 1,691.57, 2,328.80 and 1,454.64 is: 2,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.57 : 2,328.80 = 1,454.64 : x
  2. Step 2: Convert to fraction form
    1,691.57/2,328.80 = 1,454.64/x
  3. Step 3: Cross multiply
    1,691.57x = 2,328.80 × 1,454.64
  4. Step 4: Simplify right side
    1,691.57x = 3,387,558.36
  5. Step 5: Solve for x
    x = 3,387,558.36/1,691.57
  6. Step 6: Final answer
    x = 2,002.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.