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Finding the Fourth Proportional to 575.04, 861.60 and 438.24

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Solution

The fourth proportional to 575.04, 861.60 and 438.24 is: 656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.04 : 861.60 = 438.24 : x
  2. Step 2: Convert to fraction form
    575.04/861.60 = 438.24/x
  3. Step 3: Cross multiply
    575.04x = 861.60 × 438.24
  4. Step 4: Simplify right side
    575.04x = 377,587.58
  5. Step 5: Solve for x
    x = 377,587.58/575.04
  6. Step 6: Final answer
    x = 656.63

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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.