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Finding the Fourth Proportional to 882.52, 1,323.80 and 334.74

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Solution

The fourth proportional to 882.52, 1,323.80 and 334.74 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.52 : 1,323.80 = 334.74 : x
  2. Step 2: Convert to fraction form
    882.52/1,323.80 = 334.74/x
  3. Step 3: Cross multiply
    882.52x = 1,323.80 × 334.74
  4. Step 4: Simplify right side
    882.52x = 443,127.79
  5. Step 5: Solve for x
    x = 443,127.79/882.52
  6. Step 6: Final answer
    x = 502.12

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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.