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Finding the Fourth Proportional to 1,058.71, 1,589.87 and 689.15

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Solution

The fourth proportional to 1,058.71, 1,589.87 and 689.15 is: 1,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.71 : 1,589.87 = 689.15 : x
  2. Step 2: Convert to fraction form
    1,058.71/1,589.87 = 689.15/x
  3. Step 3: Cross multiply
    1,058.71x = 1,589.87 × 689.15
  4. Step 4: Simplify right side
    1,058.71x = 1,095,652.68
  5. Step 5: Solve for x
    x = 1,095,652.68/1,058.71
  6. Step 6: Final answer
    x = 1,034.90

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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.