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Finding the Fourth Proportional to 876.83, 1,209.76 and 712.13

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Solution

The fourth proportional to 876.83, 1,209.76 and 712.13 is: 982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.83 : 1,209.76 = 712.13 : x
  2. Step 2: Convert to fraction form
    876.83/1,209.76 = 712.13/x
  3. Step 3: Cross multiply
    876.83x = 1,209.76 × 712.13
  4. Step 4: Simplify right side
    876.83x = 861,507.63
  5. Step 5: Solve for x
    x = 861,507.63/876.83
  6. Step 6: Final answer
    x = 982.52

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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.