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Finding the Fourth Proportional to 575.76, 862.80 and 438.36

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Solution

The fourth proportional to 575.76, 862.80 and 438.36 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.76 : 862.80 = 438.36 : x
  2. Step 2: Convert to fraction form
    575.76/862.80 = 438.36/x
  3. Step 3: Cross multiply
    575.76x = 862.80 × 438.36
  4. Step 4: Simplify right side
    575.76x = 378,217.01
  5. Step 5: Solve for x
    x = 378,217.01/575.76
  6. Step 6: Final answer
    x = 656.90

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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.