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Finding the Fourth Proportional to 503, 752.47 and 426.13

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Solution

The fourth proportional to 503, 752.47 and 426.13 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 752.47 = 426.13 : x
  2. Step 2: Convert to fraction form
    503/752.47 = 426.13/x
  3. Step 3: Cross multiply
    503x = 752.47 × 426.13
  4. Step 4: Simplify right side
    503x = 320,650.04
  5. Step 5: Solve for x
    x = 320,650.04/503
  6. Step 6: Final answer
    x = 637.48

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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.