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Finding the Fourth Proportional to 1,158.71, 1,739.07 and 671.09

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Solution

The fourth proportional to 1,158.71, 1,739.07 and 671.09 is: 1,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.71 : 1,739.07 = 671.09 : x
  2. Step 2: Convert to fraction form
    1,158.71/1,739.07 = 671.09/x
  3. Step 3: Cross multiply
    1,158.71x = 1,739.07 × 671.09
  4. Step 4: Simplify right side
    1,158.71x = 1,167,063.79
  5. Step 5: Solve for x
    x = 1,167,063.79/1,158.71
  6. Step 6: Final answer
    x = 1,007.21

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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.