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Finding the Fourth Proportional to 870.64, 1,193.42 and 858.96

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Solution

The fourth proportional to 870.64, 1,193.42 and 858.96 is: 1,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.64 : 1,193.42 = 858.96 : x
  2. Step 2: Convert to fraction form
    870.64/1,193.42 = 858.96/x
  3. Step 3: Cross multiply
    870.64x = 1,193.42 × 858.96
  4. Step 4: Simplify right side
    870.64x = 1,025,100.04
  5. Step 5: Solve for x
    x = 1,025,100.04/870.64
  6. Step 6: Final answer
    x = 1,177.41

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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.