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Finding the Fourth Proportional to 595.76, 892.09 and 411.23

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Solution

The fourth proportional to 595.76, 892.09 and 411.23 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 892.09 = 411.23 : x
  2. Step 2: Convert to fraction form
    595.76/892.09 = 411.23/x
  3. Step 3: Cross multiply
    595.76x = 892.09 × 411.23
  4. Step 4: Simplify right side
    595.76x = 366,851.90
  5. Step 5: Solve for x
    x = 366,851.90/595.76
  6. Step 6: Final answer
    x = 615.78

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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.