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Finding the Fourth Proportional to 1,096.78, 1,645.20 and 366.40

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Solution

The fourth proportional to 1,096.78, 1,645.20 and 366.40 is: 549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.78 : 1,645.20 = 366.40 : x
  2. Step 2: Convert to fraction form
    1,096.78/1,645.20 = 366.40/x
  3. Step 3: Cross multiply
    1,096.78x = 1,645.20 × 366.40
  4. Step 4: Simplify right side
    1,096.78x = 602,801.28
  5. Step 5: Solve for x
    x = 602,801.28/1,096.78
  6. Step 6: Final answer
    x = 549.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.