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Finding the Fourth Proportional to 575.26, 862.42 and 286.90

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Solution

The fourth proportional to 575.26, 862.42 and 286.90 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.26 : 862.42 = 286.90 : x
  2. Step 2: Convert to fraction form
    575.26/862.42 = 286.90/x
  3. Step 3: Cross multiply
    575.26x = 862.42 × 286.90
  4. Step 4: Simplify right side
    575.26x = 247,428.30
  5. Step 5: Solve for x
    x = 247,428.30/575.26
  6. Step 6: Final answer
    x = 430.12

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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.