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Finding the Fourth Proportional to 876.90, 1,315.48 and 486.60

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Solution

The fourth proportional to 876.90, 1,315.48 and 486.60 is: 729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.90 : 1,315.48 = 486.60 : x
  2. Step 2: Convert to fraction form
    876.90/1,315.48 = 486.60/x
  3. Step 3: Cross multiply
    876.90x = 1,315.48 × 486.60
  4. Step 4: Simplify right side
    876.90x = 640,112.57
  5. Step 5: Solve for x
    x = 640,112.57/876.90
  6. Step 6: Final answer
    x = 729.97

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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.