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Finding the Fourth Proportional to 1,009.68, 1,507.72 and 998.96

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Solution

The fourth proportional to 1,009.68, 1,507.72 and 998.96 is: 1,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.68 : 1,507.72 = 998.96 : x
  2. Step 2: Convert to fraction form
    1,009.68/1,507.72 = 998.96/x
  3. Step 3: Cross multiply
    1,009.68x = 1,507.72 × 998.96
  4. Step 4: Simplify right side
    1,009.68x = 1,506,151.97
  5. Step 5: Solve for x
    x = 1,506,151.97/1,009.68
  6. Step 6: Final answer
    x = 1,491.71

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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.