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Finding the Fourth Proportional to 1,059.68, 1,589.49 and 434.90

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Solution

The fourth proportional to 1,059.68, 1,589.49 and 434.90 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.68 : 1,589.49 = 434.90 : x
  2. Step 2: Convert to fraction form
    1,059.68/1,589.49 = 434.90/x
  3. Step 3: Cross multiply
    1,059.68x = 1,589.49 × 434.90
  4. Step 4: Simplify right side
    1,059.68x = 691,273.17
  5. Step 5: Solve for x
    x = 691,273.17/1,059.68
  6. Step 6: Final answer
    x = 652.34

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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.