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Finding the Fourth Proportional to 926.58, 1,396.41 and 871.86

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Solution

The fourth proportional to 926.58, 1,396.41 and 871.86 is: 1,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.58 : 1,396.41 = 871.86 : x
  2. Step 2: Convert to fraction form
    926.58/1,396.41 = 871.86/x
  3. Step 3: Cross multiply
    926.58x = 1,396.41 × 871.86
  4. Step 4: Simplify right side
    926.58x = 1,217,474.02
  5. Step 5: Solve for x
    x = 1,217,474.02/926.58
  6. Step 6: Final answer
    x = 1,313.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.