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Finding the Fourth Proportional to 1,049.41, 1,572.97 and 424.45

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Solution

The fourth proportional to 1,049.41, 1,572.97 and 424.45 is: 636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.41 : 1,572.97 = 424.45 : x
  2. Step 2: Convert to fraction form
    1,049.41/1,572.97 = 424.45/x
  3. Step 3: Cross multiply
    1,049.41x = 1,572.97 × 424.45
  4. Step 4: Simplify right side
    1,049.41x = 667,647.12
  5. Step 5: Solve for x
    x = 667,647.12/1,049.41
  6. Step 6: Final answer
    x = 636.21

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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.