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Finding the Fourth Proportional to 866.54, 1,298.99 and 289

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Solution

The fourth proportional to 866.54, 1,298.99 and 289 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.54 : 1,298.99 = 289 : x
  2. Step 2: Convert to fraction form
    866.54/1,298.99 = 289/x
  3. Step 3: Cross multiply
    866.54x = 1,298.99 × 289
  4. Step 4: Simplify right side
    866.54x = 375,408.11
  5. Step 5: Solve for x
    x = 375,408.11/866.54
  6. Step 6: Final answer
    x = 433.23

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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.