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Finding the Fourth Proportional to 859.13, 1,288.39 and 586.97

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Solution

The fourth proportional to 859.13, 1,288.39 and 586.97 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.13 : 1,288.39 = 586.97 : x
  2. Step 2: Convert to fraction form
    859.13/1,288.39 = 586.97/x
  3. Step 3: Cross multiply
    859.13x = 1,288.39 × 586.97
  4. Step 4: Simplify right side
    859.13x = 756,246.28
  5. Step 5: Solve for x
    x = 756,246.28/859.13
  6. Step 6: Final answer
    x = 880.25

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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.