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Finding the Fourth Proportional to 906.90, 1,353.27 and 871.32

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Solution

The fourth proportional to 906.90, 1,353.27 and 871.32 is: 1,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.90 : 1,353.27 = 871.32 : x
  2. Step 2: Convert to fraction form
    906.90/1,353.27 = 871.32/x
  3. Step 3: Cross multiply
    906.90x = 1,353.27 × 871.32
  4. Step 4: Simplify right side
    906.90x = 1,179,131.22
  5. Step 5: Solve for x
    x = 1,179,131.22/906.90
  6. Step 6: Final answer
    x = 1,300.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.