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Finding the Fourth Proportional to 859.90, 1,287.33 and 534.28

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Solution

The fourth proportional to 859.90, 1,287.33 and 534.28 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.90 : 1,287.33 = 534.28 : x
  2. Step 2: Convert to fraction form
    859.90/1,287.33 = 534.28/x
  3. Step 3: Cross multiply
    859.90x = 1,287.33 × 534.28
  4. Step 4: Simplify right side
    859.90x = 687,794.67
  5. Step 5: Solve for x
    x = 687,794.67/859.90
  6. Step 6: Final answer
    x = 799.85

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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.