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Finding the Fourth Proportional to 863.74, 1,295.61 and 287.02

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Solution

The fourth proportional to 863.74, 1,295.61 and 287.02 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.74 : 1,295.61 = 287.02 : x
  2. Step 2: Convert to fraction form
    863.74/1,295.61 = 287.02/x
  3. Step 3: Cross multiply
    863.74x = 1,295.61 × 287.02
  4. Step 4: Simplify right side
    863.74x = 371,865.98
  5. Step 5: Solve for x
    x = 371,865.98/863.74
  6. Step 6: Final answer
    x = 430.53

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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.