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Finding the Fourth Proportional to 575.30, 861.88 and 444.83

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Solution

The fourth proportional to 575.30, 861.88 and 444.83 is: 666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 861.88 = 444.83 : x
  2. Step 2: Convert to fraction form
    575.30/861.88 = 444.83/x
  3. Step 3: Cross multiply
    575.30x = 861.88 × 444.83
  4. Step 4: Simplify right side
    575.30x = 383,391.12
  5. Step 5: Solve for x
    x = 383,391.12/575.30
  6. Step 6: Final answer
    x = 666.43

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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.