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Finding the Fourth Proportional to 882.65, 1,324.13 and 395.74

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Solution

The fourth proportional to 882.65, 1,324.13 and 395.74 is: 593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.65 : 1,324.13 = 395.74 : x
  2. Step 2: Convert to fraction form
    882.65/1,324.13 = 395.74/x
  3. Step 3: Cross multiply
    882.65x = 1,324.13 × 395.74
  4. Step 4: Simplify right side
    882.65x = 524,011.21
  5. Step 5: Solve for x
    x = 524,011.21/882.65
  6. Step 6: Final answer
    x = 593.68

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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.