Home / 1,037.97-1,432.40-664.83

Finding the Fourth Proportional to 1,037.97, 1,432.40 and 664.83

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Solution

The fourth proportional to 1,037.97, 1,432.40 and 664.83 is: 917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.97 : 1,432.40 = 664.83 : x
  2. Step 2: Convert to fraction form
    1,037.97/1,432.40 = 664.83/x
  3. Step 3: Cross multiply
    1,037.97x = 1,432.40 × 664.83
  4. Step 4: Simplify right side
    1,037.97x = 952,299.17
  5. Step 5: Solve for x
    x = 952,299.17/1,037.97
  6. Step 6: Final answer
    x = 917.46

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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.