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Finding the Fourth Proportional to 575.24, 861.71 and 445.14

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Solution

The fourth proportional to 575.24, 861.71 and 445.14 is: 666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 861.71 = 445.14 : x
  2. Step 2: Convert to fraction form
    575.24/861.71 = 445.14/x
  3. Step 3: Cross multiply
    575.24x = 861.71 × 445.14
  4. Step 4: Simplify right side
    575.24x = 383,579.36
  5. Step 5: Solve for x
    x = 383,579.36/575.24
  6. Step 6: Final answer
    x = 666.82

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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.