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Finding the Fourth Proportional to 501.46, 751.55 and 439.56

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Solution

The fourth proportional to 501.46, 751.55 and 439.56 is: 658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.46 : 751.55 = 439.56 : x
  2. Step 2: Convert to fraction form
    501.46/751.55 = 439.56/x
  3. Step 3: Cross multiply
    501.46x = 751.55 × 439.56
  4. Step 4: Simplify right side
    501.46x = 330,349.12
  5. Step 5: Solve for x
    x = 330,349.12/501.46
  6. Step 6: Final answer
    x = 658.78

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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.