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Finding the Fourth Proportional to 988.35, 1,360.90 and 863.28

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Solution

The fourth proportional to 988.35, 1,360.90 and 863.28 is: 1,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.35 : 1,360.90 = 863.28 : x
  2. Step 2: Convert to fraction form
    988.35/1,360.90 = 863.28/x
  3. Step 3: Cross multiply
    988.35x = 1,360.90 × 863.28
  4. Step 4: Simplify right side
    988.35x = 1,174,838.83
  5. Step 5: Solve for x
    x = 1,174,838.83/988.35
  6. Step 6: Final answer
    x = 1,188.69

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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.