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Finding the Fourth Proportional to 439.85, 610.64 and 426.48

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Solution

The fourth proportional to 439.85, 610.64 and 426.48 is: 592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.85 : 610.64 = 426.48 : x
  2. Step 2: Convert to fraction form
    439.85/610.64 = 426.48/x
  3. Step 3: Cross multiply
    439.85x = 610.64 × 426.48
  4. Step 4: Simplify right side
    439.85x = 260,423.61
  5. Step 5: Solve for x
    x = 260,423.61/439.85
  6. Step 6: Final answer
    x = 592.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.