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Finding the Fourth Proportional to 1,691.60, 2,537.63 and 521.69

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Solution

The fourth proportional to 1,691.60, 2,537.63 and 521.69 is: 782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.60 : 2,537.63 = 521.69 : x
  2. Step 2: Convert to fraction form
    1,691.60/2,537.63 = 521.69/x
  3. Step 3: Cross multiply
    1,691.60x = 2,537.63 × 521.69
  4. Step 4: Simplify right side
    1,691.60x = 1,323,856.19
  5. Step 5: Solve for x
    x = 1,323,856.19/1,691.60
  6. Step 6: Final answer
    x = 782.61

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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.