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Finding the Fourth Proportional to 882.62, 1,323.74 and 576.62

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Solution

The fourth proportional to 882.62, 1,323.74 and 576.62 is: 864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.62 : 1,323.74 = 576.62 : x
  2. Step 2: Convert to fraction form
    882.62/1,323.74 = 576.62/x
  3. Step 3: Cross multiply
    882.62x = 1,323.74 × 576.62
  4. Step 4: Simplify right side
    882.62x = 763,294.96
  5. Step 5: Solve for x
    x = 763,294.96/882.62
  6. Step 6: Final answer
    x = 864.81

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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.