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Finding the Fourth Proportional to 575.78, 862.72 and 358.90

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Solution

The fourth proportional to 575.78, 862.72 and 358.90 is: 537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 862.72 = 358.90 : x
  2. Step 2: Convert to fraction form
    575.78/862.72 = 358.90/x
  3. Step 3: Cross multiply
    575.78x = 862.72 × 358.90
  4. Step 4: Simplify right side
    575.78x = 309,627.15
  5. Step 5: Solve for x
    x = 309,627.15/575.78
  6. Step 6: Final answer
    x = 537.76

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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.