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Finding the Fourth Proportional to 988.90, 1,363.24 and 778.68

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Solution

The fourth proportional to 988.90, 1,363.24 and 778.68 is: 1,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.90 : 1,363.24 = 778.68 : x
  2. Step 2: Convert to fraction form
    988.90/1,363.24 = 778.68/x
  3. Step 3: Cross multiply
    988.90x = 1,363.24 × 778.68
  4. Step 4: Simplify right side
    988.90x = 1,061,527.72
  5. Step 5: Solve for x
    x = 1,061,527.72/988.90
  6. Step 6: Final answer
    x = 1,073.44

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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.