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Finding the Fourth Proportional to 858.74, 1,286.77 and 595.70

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Solution

The fourth proportional to 858.74, 1,286.77 and 595.70 is: 892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.74 : 1,286.77 = 595.70 : x
  2. Step 2: Convert to fraction form
    858.74/1,286.77 = 595.70/x
  3. Step 3: Cross multiply
    858.74x = 1,286.77 × 595.70
  4. Step 4: Simplify right side
    858.74x = 766,536.75
  5. Step 5: Solve for x
    x = 766,536.75/858.74
  6. Step 6: Final answer
    x = 892.63

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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.