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Finding the Fourth Proportional to 874.32, 1,205.44 and 638.07

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Solution

The fourth proportional to 874.32, 1,205.44 and 638.07 is: 879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.32 : 1,205.44 = 638.07 : x
  2. Step 2: Convert to fraction form
    874.32/1,205.44 = 638.07/x
  3. Step 3: Cross multiply
    874.32x = 1,205.44 × 638.07
  4. Step 4: Simplify right side
    874.32x = 769,155.10
  5. Step 5: Solve for x
    x = 769,155.10/874.32
  6. Step 6: Final answer
    x = 879.72

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Double scale
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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.