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Finding the Fourth Proportional to 833.88, 1,251.54 and 321.24

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Solution

The fourth proportional to 833.88, 1,251.54 and 321.24 is: 482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.88 : 1,251.54 = 321.24 : x
  2. Step 2: Convert to fraction form
    833.88/1,251.54 = 321.24/x
  3. Step 3: Cross multiply
    833.88x = 1,251.54 × 321.24
  4. Step 4: Simplify right side
    833.88x = 402,044.71
  5. Step 5: Solve for x
    x = 402,044.71/833.88
  6. Step 6: Final answer
    x = 482.14

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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.