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Finding the Fourth Proportional to 597.21, 892.23 and 576.75

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Solution

The fourth proportional to 597.21, 892.23 and 576.75 is: 861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 892.23 = 576.75 : x
  2. Step 2: Convert to fraction form
    597.21/892.23 = 576.75/x
  3. Step 3: Cross multiply
    597.21x = 892.23 × 576.75
  4. Step 4: Simplify right side
    597.21x = 514,593.65
  5. Step 5: Solve for x
    x = 514,593.65/597.21
  6. Step 6: Final answer
    x = 861.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.