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Finding the Fourth Proportional to 866.51, 1,299.90 and 289.25

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Solution

The fourth proportional to 866.51, 1,299.90 and 289.25 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.51 : 1,299.90 = 289.25 : x
  2. Step 2: Convert to fraction form
    866.51/1,299.90 = 289.25/x
  3. Step 3: Cross multiply
    866.51x = 1,299.90 × 289.25
  4. Step 4: Simplify right side
    866.51x = 375,996.08
  5. Step 5: Solve for x
    x = 375,996.08/866.51
  6. Step 6: Final answer
    x = 433.92

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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.