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Finding the Fourth Proportional to 998.64, 1,491.08 and 872.87

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Solution

The fourth proportional to 998.64, 1,491.08 and 872.87 is: 1,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,491.08 = 872.87 : x
  2. Step 2: Convert to fraction form
    998.64/1,491.08 = 872.87/x
  3. Step 3: Cross multiply
    998.64x = 1,491.08 × 872.87
  4. Step 4: Simplify right side
    998.64x = 1,301,507.18
  5. Step 5: Solve for x
    x = 1,301,507.18/998.64
  6. Step 6: Final answer
    x = 1,303.28

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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.