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Finding the Fourth Proportional to 1,358.73, 2,037.75 and 578.70

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Solution

The fourth proportional to 1,358.73, 2,037.75 and 578.70 is: 867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.73 : 2,037.75 = 578.70 : x
  2. Step 2: Convert to fraction form
    1,358.73/2,037.75 = 578.70/x
  3. Step 3: Cross multiply
    1,358.73x = 2,037.75 × 578.70
  4. Step 4: Simplify right side
    1,358.73x = 1,179,245.93
  5. Step 5: Solve for x
    x = 1,179,245.93/1,358.73
  6. Step 6: Final answer
    x = 867.90

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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.