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Finding the Fourth Proportional to 870.20, 1,192.27 and 858.05

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Solution

The fourth proportional to 870.20, 1,192.27 and 858.05 is: 1,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.20 : 1,192.27 = 858.05 : x
  2. Step 2: Convert to fraction form
    870.20/1,192.27 = 858.05/x
  3. Step 3: Cross multiply
    870.20x = 1,192.27 × 858.05
  4. Step 4: Simplify right side
    870.20x = 1,023,027.27
  5. Step 5: Solve for x
    x = 1,023,027.27/870.20
  6. Step 6: Final answer
    x = 1,175.62

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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.