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Finding the Fourth Proportional to 1,147.47, 1,581.99 and 989.91

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Solution

The fourth proportional to 1,147.47, 1,581.99 and 989.91 is: 1,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.47 : 1,581.99 = 989.91 : x
  2. Step 2: Convert to fraction form
    1,147.47/1,581.99 = 989.91/x
  3. Step 3: Cross multiply
    1,147.47x = 1,581.99 × 989.91
  4. Step 4: Simplify right side
    1,147.47x = 1,566,027.72
  5. Step 5: Solve for x
    x = 1,566,027.72/1,147.47
  6. Step 6: Final answer
    x = 1,364.77

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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.