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Finding the Fourth Proportional to 1,731.01, 2,594.35 and 865.57

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Solution

The fourth proportional to 1,731.01, 2,594.35 and 865.57 is: 1,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.01 : 2,594.35 = 865.57 : x
  2. Step 2: Convert to fraction form
    1,731.01/2,594.35 = 865.57/x
  3. Step 3: Cross multiply
    1,731.01x = 2,594.35 × 865.57
  4. Step 4: Simplify right side
    1,731.01x = 2,245,586.13
  5. Step 5: Solve for x
    x = 2,245,586.13/1,731.01
  6. Step 6: Final answer
    x = 1,297.27

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Half scale
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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.