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Finding the Fourth Proportional to 871.70, 1,192.26 and 858.74

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Solution

The fourth proportional to 871.70, 1,192.26 and 858.74 is: 1,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.70 : 1,192.26 = 858.74 : x
  2. Step 2: Convert to fraction form
    871.70/1,192.26 = 858.74/x
  3. Step 3: Cross multiply
    871.70x = 1,192.26 × 858.74
  4. Step 4: Simplify right side
    871.70x = 1,023,841.35
  5. Step 5: Solve for x
    x = 1,023,841.35/871.70
  6. Step 6: Final answer
    x = 1,174.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.