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Finding the Fourth Proportional to 876.97, 1,315.97 and 321.62

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Solution

The fourth proportional to 876.97, 1,315.97 and 321.62 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.97 : 1,315.97 = 321.62 : x
  2. Step 2: Convert to fraction form
    876.97/1,315.97 = 321.62/x
  3. Step 3: Cross multiply
    876.97x = 1,315.97 × 321.62
  4. Step 4: Simplify right side
    876.97x = 423,240.66
  5. Step 5: Solve for x
    x = 423,240.66/876.97
  6. Step 6: Final answer
    x = 482.62

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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.