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Finding the Fourth Proportional to 988.19, 1,363.09 and 792.17

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Solution

The fourth proportional to 988.19, 1,363.09 and 792.17 is: 1,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.19 : 1,363.09 = 792.17 : x
  2. Step 2: Convert to fraction form
    988.19/1,363.09 = 792.17/x
  3. Step 3: Cross multiply
    988.19x = 1,363.09 × 792.17
  4. Step 4: Simplify right side
    988.19x = 1,079,799.01
  5. Step 5: Solve for x
    x = 1,079,799.01/988.19
  6. Step 6: Final answer
    x = 1,092.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.