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Finding the Fourth Proportional to 988.61, 1,481.44 and 780.84

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Solution

The fourth proportional to 988.61, 1,481.44 and 780.84 is: 1,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.61 : 1,481.44 = 780.84 : x
  2. Step 2: Convert to fraction form
    988.61/1,481.44 = 780.84/x
  3. Step 3: Cross multiply
    988.61x = 1,481.44 × 780.84
  4. Step 4: Simplify right side
    988.61x = 1,156,767.12
  5. Step 5: Solve for x
    x = 1,156,767.12/988.61
  6. Step 6: Final answer
    x = 1,170.10

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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.