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Finding the Fourth Proportional to 876.69, 1,315.16 and 321.42

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Solution

The fourth proportional to 876.69, 1,315.16 and 321.42 is: 482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.69 : 1,315.16 = 321.42 : x
  2. Step 2: Convert to fraction form
    876.69/1,315.16 = 321.42/x
  3. Step 3: Cross multiply
    876.69x = 1,315.16 × 321.42
  4. Step 4: Simplify right side
    876.69x = 422,718.73
  5. Step 5: Solve for x
    x = 422,718.73/876.69
  6. Step 6: Final answer
    x = 482.18

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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.