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Finding the Fourth Proportional to 1,142.76, 1,714.17 and 321

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Solution

The fourth proportional to 1,142.76, 1,714.17 and 321 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.76 : 1,714.17 = 321 : x
  2. Step 2: Convert to fraction form
    1,142.76/1,714.17 = 321/x
  3. Step 3: Cross multiply
    1,142.76x = 1,714.17 × 321
  4. Step 4: Simplify right side
    1,142.76x = 550,248.57
  5. Step 5: Solve for x
    x = 550,248.57/1,142.76
  6. Step 6: Final answer
    x = 481.51

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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.