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Finding the Fourth Proportional to 988.52, 1,480.14 and 792.56

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Solution

The fourth proportional to 988.52, 1,480.14 and 792.56 is: 1,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,480.14 = 792.56 : x
  2. Step 2: Convert to fraction form
    988.52/1,480.14 = 792.56/x
  3. Step 3: Cross multiply
    988.52x = 1,480.14 × 792.56
  4. Step 4: Simplify right side
    988.52x = 1,173,099.76
  5. Step 5: Solve for x
    x = 1,173,099.76/988.52
  6. Step 6: Final answer
    x = 1,186.72

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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.