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Finding the Fourth Proportional to 575.74, 863.07 and 286.86

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Solution

The fourth proportional to 575.74, 863.07 and 286.86 is: 430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 863.07 = 286.86 : x
  2. Step 2: Convert to fraction form
    575.74/863.07 = 286.86/x
  3. Step 3: Cross multiply
    575.74x = 863.07 × 286.86
  4. Step 4: Simplify right side
    575.74x = 247,580.26
  5. Step 5: Solve for x
    x = 247,580.26/575.74
  6. Step 6: Final answer
    x = 430.02

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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.