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Finding the Fourth Proportional to 988.34, 1,363.64 and 778.55

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Solution

The fourth proportional to 988.34, 1,363.64 and 778.55 is: 1,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.34 : 1,363.64 = 778.55 : x
  2. Step 2: Convert to fraction form
    988.34/1,363.64 = 778.55/x
  3. Step 3: Cross multiply
    988.34x = 1,363.64 × 778.55
  4. Step 4: Simplify right side
    988.34x = 1,061,651.21
  5. Step 5: Solve for x
    x = 1,061,651.21/988.34
  6. Step 6: Final answer
    x = 1,074.18

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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.