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Finding the Fourth Proportional to 861.64, 1,292.46 and 585.78

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Solution

The fourth proportional to 861.64, 1,292.46 and 585.78 is: 878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.64 : 1,292.46 = 585.78 : x
  2. Step 2: Convert to fraction form
    861.64/1,292.46 = 585.78/x
  3. Step 3: Cross multiply
    861.64x = 1,292.46 × 585.78
  4. Step 4: Simplify right side
    861.64x = 757,097.22
  5. Step 5: Solve for x
    x = 757,097.22/861.64
  6. Step 6: Final answer
    x = 878.67

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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.