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Finding the Fourth Proportional to 1,049.43, 1,572.78 and 580.59

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Solution

The fourth proportional to 1,049.43, 1,572.78 and 580.59 is: 870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.43 : 1,572.78 = 580.59 : x
  2. Step 2: Convert to fraction form
    1,049.43/1,572.78 = 580.59/x
  3. Step 3: Cross multiply
    1,049.43x = 1,572.78 × 580.59
  4. Step 4: Simplify right side
    1,049.43x = 913,140.34
  5. Step 5: Solve for x
    x = 913,140.34/1,049.43
  6. Step 6: Final answer
    x = 870.13

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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.