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Finding the Fourth Proportional to 866.16, 1,299.24 and 289.08

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Solution

The fourth proportional to 866.16, 1,299.24 and 289.08 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,299.24 = 289.08 : x
  2. Step 2: Convert to fraction form
    866.16/1,299.24 = 289.08/x
  3. Step 3: Cross multiply
    866.16x = 1,299.24 × 289.08
  4. Step 4: Simplify right side
    866.16x = 375,584.30
  5. Step 5: Solve for x
    x = 375,584.30/866.16
  6. Step 6: Final answer
    x = 433.62

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Half scale
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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.