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Finding the Fourth Proportional to 503.53, 753.92 and 426.07

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Solution

The fourth proportional to 503.53, 753.92 and 426.07 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.53 : 753.92 = 426.07 : x
  2. Step 2: Convert to fraction form
    503.53/753.92 = 426.07/x
  3. Step 3: Cross multiply
    503.53x = 753.92 × 426.07
  4. Step 4: Simplify right side
    503.53x = 321,222.69
  5. Step 5: Solve for x
    x = 321,222.69/503.53
  6. Step 6: Final answer
    x = 637.94

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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.