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Finding the Fourth Proportional to 988.20, 1,481.76 and 784.08

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Solution

The fourth proportional to 988.20, 1,481.76 and 784.08 is: 1,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.20 : 1,481.76 = 784.08 : x
  2. Step 2: Convert to fraction form
    988.20/1,481.76 = 784.08/x
  3. Step 3: Cross multiply
    988.20x = 1,481.76 × 784.08
  4. Step 4: Simplify right side
    988.20x = 1,161,818.38
  5. Step 5: Solve for x
    x = 1,161,818.38/988.20
  6. Step 6: Final answer
    x = 1,175.69

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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.