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Finding the Fourth Proportional to 1,355.47, 2,033.71 and 575.71

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Solution

The fourth proportional to 1,355.47, 2,033.71 and 575.71 is: 863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.47 : 2,033.71 = 575.71 : x
  2. Step 2: Convert to fraction form
    1,355.47/2,033.71 = 575.71/x
  3. Step 3: Cross multiply
    1,355.47x = 2,033.71 × 575.71
  4. Step 4: Simplify right side
    1,355.47x = 1,170,820.66
  5. Step 5: Solve for x
    x = 1,170,820.66/1,355.47
  6. Step 6: Final answer
    x = 863.78

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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.