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Finding the Fourth Proportional to 876.03, 1,314.05 and 412.49

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Solution

The fourth proportional to 876.03, 1,314.05 and 412.49 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.03 : 1,314.05 = 412.49 : x
  2. Step 2: Convert to fraction form
    876.03/1,314.05 = 412.49/x
  3. Step 3: Cross multiply
    876.03x = 1,314.05 × 412.49
  4. Step 4: Simplify right side
    876.03x = 542,023.85
  5. Step 5: Solve for x
    x = 542,023.85/876.03
  6. Step 6: Final answer
    x = 618.73

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Double scale
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Similar ratio
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1.5x scale

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.