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Finding the Fourth Proportional to 876.40, 1,209.68 and 614.48

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Solution

The fourth proportional to 876.40, 1,209.68 and 614.48 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,209.68 = 614.48 : x
  2. Step 2: Convert to fraction form
    876.40/1,209.68 = 614.48/x
  3. Step 3: Cross multiply
    876.40x = 1,209.68 × 614.48
  4. Step 4: Simplify right side
    876.40x = 743,324.17
  5. Step 5: Solve for x
    x = 743,324.17/876.40
  6. Step 6: Final answer
    x = 848.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.