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Finding the Fourth Proportional to 876.90, 1,315.09 and 328.68

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Solution

The fourth proportional to 876.90, 1,315.09 and 328.68 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.90 : 1,315.09 = 328.68 : x
  2. Step 2: Convert to fraction form
    876.90/1,315.09 = 328.68/x
  3. Step 3: Cross multiply
    876.90x = 1,315.09 × 328.68
  4. Step 4: Simplify right side
    876.90x = 432,243.78
  5. Step 5: Solve for x
    x = 432,243.78/876.90
  6. Step 6: Final answer
    x = 492.92

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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.