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Finding the Fourth Proportional to 575.46, 864.36 and 344.80

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Solution

The fourth proportional to 575.46, 864.36 and 344.80 is: 517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 864.36 = 344.80 : x
  2. Step 2: Convert to fraction form
    575.46/864.36 = 344.80/x
  3. Step 3: Cross multiply
    575.46x = 864.36 × 344.80
  4. Step 4: Simplify right side
    575.46x = 298,031.33
  5. Step 5: Solve for x
    x = 298,031.33/575.46
  6. Step 6: Final answer
    x = 517.90

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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.