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Finding the Fourth Proportional to 503.61, 752.01 and 399.75

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Solution

The fourth proportional to 503.61, 752.01 and 399.75 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.61 : 752.01 = 399.75 : x
  2. Step 2: Convert to fraction form
    503.61/752.01 = 399.75/x
  3. Step 3: Cross multiply
    503.61x = 752.01 × 399.75
  4. Step 4: Simplify right side
    503.61x = 300,616.00
  5. Step 5: Solve for x
    x = 300,616.00/503.61
  6. Step 6: Final answer
    x = 596.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.