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Finding the Fourth Proportional to 998.64, 1,494.10 and 870.12

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Solution

The fourth proportional to 998.64, 1,494.10 and 870.12 is: 1,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,494.10 = 870.12 : x
  2. Step 2: Convert to fraction form
    998.64/1,494.10 = 870.12/x
  3. Step 3: Cross multiply
    998.64x = 1,494.10 × 870.12
  4. Step 4: Simplify right side
    998.64x = 1,300,046.29
  5. Step 5: Solve for x
    x = 1,300,046.29/998.64
  6. Step 6: Final answer
    x = 1,301.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.