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Finding the Fourth Proportional to 1,037.87, 1,432.31 and 644.82

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Solution

The fourth proportional to 1,037.87, 1,432.31 and 644.82 is: 889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.87 : 1,432.31 = 644.82 : x
  2. Step 2: Convert to fraction form
    1,037.87/1,432.31 = 644.82/x
  3. Step 3: Cross multiply
    1,037.87x = 1,432.31 × 644.82
  4. Step 4: Simplify right side
    1,037.87x = 923,582.13
  5. Step 5: Solve for x
    x = 923,582.13/1,037.87
  6. Step 6: Final answer
    x = 889.88

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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.