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Finding the Fourth Proportional to 575.25, 863.46 and 431.88

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Solution

The fourth proportional to 575.25, 863.46 and 431.88 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.25 : 863.46 = 431.88 : x
  2. Step 2: Convert to fraction form
    575.25/863.46 = 431.88/x
  3. Step 3: Cross multiply
    575.25x = 863.46 × 431.88
  4. Step 4: Simplify right side
    575.25x = 372,911.10
  5. Step 5: Solve for x
    x = 372,911.10/575.25
  6. Step 6: Final answer
    x = 648.26

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Double scale
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Similar ratio
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1.5x scale

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.