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Finding the Fourth Proportional to 866.75, 1,299.72 and 289.22

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Solution

The fourth proportional to 866.75, 1,299.72 and 289.22 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.75 : 1,299.72 = 289.22 : x
  2. Step 2: Convert to fraction form
    866.75/1,299.72 = 289.22/x
  3. Step 3: Cross multiply
    866.75x = 1,299.72 × 289.22
  4. Step 4: Simplify right side
    866.75x = 375,905.02
  5. Step 5: Solve for x
    x = 375,905.02/866.75
  6. Step 6: Final answer
    x = 433.69

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Double 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.