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Finding the Fourth Proportional to 859.57, 1,186.05 and 580.26

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Solution

The fourth proportional to 859.57, 1,186.05 and 580.26 is: 800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.57 : 1,186.05 = 580.26 : x
  2. Step 2: Convert to fraction form
    859.57/1,186.05 = 580.26/x
  3. Step 3: Cross multiply
    859.57x = 1,186.05 × 580.26
  4. Step 4: Simplify right side
    859.57x = 688,217.37
  5. Step 5: Solve for x
    x = 688,217.37/859.57
  6. Step 6: Final answer
    x = 800.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.