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Finding the Fourth Proportional to 874.55, 1,206.38 and 638.19

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Solution

The fourth proportional to 874.55, 1,206.38 and 638.19 is: 880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.55 : 1,206.38 = 638.19 : x
  2. Step 2: Convert to fraction form
    874.55/1,206.38 = 638.19/x
  3. Step 3: Cross multiply
    874.55x = 1,206.38 × 638.19
  4. Step 4: Simplify right side
    874.55x = 769,901.25
  5. Step 5: Solve for x
    x = 769,901.25/874.55
  6. Step 6: Final answer
    x = 880.34

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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.