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Finding the Fourth Proportional to 988.22, 1,362.18 and 778.07

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Solution

The fourth proportional to 988.22, 1,362.18 and 778.07 is: 1,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.22 : 1,362.18 = 778.07 : x
  2. Step 2: Convert to fraction form
    988.22/1,362.18 = 778.07/x
  3. Step 3: Cross multiply
    988.22x = 1,362.18 × 778.07
  4. Step 4: Simplify right side
    988.22x = 1,059,861.91
  5. Step 5: Solve for x
    x = 1,059,861.91/988.22
  6. Step 6: Final answer
    x = 1,072.49

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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.