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Finding the Fourth Proportional to 1,358.47, 2,037.77 and 989.43

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Solution

The fourth proportional to 1,358.47, 2,037.77 and 989.43 is: 1,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.47 : 2,037.77 = 989.43 : x
  2. Step 2: Convert to fraction form
    1,358.47/2,037.77 = 989.43/x
  3. Step 3: Cross multiply
    1,358.47x = 2,037.77 × 989.43
  4. Step 4: Simplify right side
    1,358.47x = 2,016,230.77
  5. Step 5: Solve for x
    x = 2,016,230.77/1,358.47
  6. Step 6: Final answer
    x = 1,484.19

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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.