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Finding the Fourth Proportional to 1,049.20, 1,580 and 913.88

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Solution

The fourth proportional to 1,049.20, 1,580 and 913.88 is: 1,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.20 : 1,580 = 913.88 : x
  2. Step 2: Convert to fraction form
    1,049.20/1,580 = 913.88/x
  3. Step 3: Cross multiply
    1,049.20x = 1,580 × 913.88
  4. Step 4: Simplify right side
    1,049.20x = 1,443,930.40
  5. Step 5: Solve for x
    x = 1,443,930.40/1,049.20
  6. Step 6: Final answer
    x = 1,376.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.