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Finding the Fourth Proportional to 575.30, 862.14 and 431.12

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Solution

The fourth proportional to 575.30, 862.14 and 431.12 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 862.14 = 431.12 : x
  2. Step 2: Convert to fraction form
    575.30/862.14 = 431.12/x
  3. Step 3: Cross multiply
    575.30x = 862.14 × 431.12
  4. Step 4: Simplify right side
    575.30x = 371,689.57
  5. Step 5: Solve for x
    x = 371,689.57/575.30
  6. Step 6: Final answer
    x = 646.08

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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.