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Finding the Fourth Proportional to 575.19, 862.07 and 286.71

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Solution

The fourth proportional to 575.19, 862.07 and 286.71 is: 429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.19 : 862.07 = 286.71 : x
  2. Step 2: Convert to fraction form
    575.19/862.07 = 286.71/x
  3. Step 3: Cross multiply
    575.19x = 862.07 × 286.71
  4. Step 4: Simplify right side
    575.19x = 247,162.66
  5. Step 5: Solve for x
    x = 247,162.66/575.19
  6. Step 6: Final answer
    x = 429.71

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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.