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Finding the Fourth Proportional to 501.92, 752.88 and 399.42

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Solution

The fourth proportional to 501.92, 752.88 and 399.42 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 752.88 = 399.42 : x
  2. Step 2: Convert to fraction form
    501.92/752.88 = 399.42/x
  3. Step 3: Cross multiply
    501.92x = 752.88 × 399.42
  4. Step 4: Simplify right side
    501.92x = 300,715.33
  5. Step 5: Solve for x
    x = 300,715.33/501.92
  6. Step 6: Final answer
    x = 599.14

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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.