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Finding the Fourth Proportional to 575.33, 864.21 and 437.90

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Solution

The fourth proportional to 575.33, 864.21 and 437.90 is: 657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.33 : 864.21 = 437.90 : x
  2. Step 2: Convert to fraction form
    575.33/864.21 = 437.90/x
  3. Step 3: Cross multiply
    575.33x = 864.21 × 437.90
  4. Step 4: Simplify right side
    575.33x = 378,437.56
  5. Step 5: Solve for x
    x = 378,437.56/575.33
  6. Step 6: Final answer
    x = 657.77

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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.