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Finding the Fourth Proportional to 942.80, 1,414.51 and 455.78

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Solution

The fourth proportional to 942.80, 1,414.51 and 455.78 is: 683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.80 : 1,414.51 = 455.78 : x
  2. Step 2: Convert to fraction form
    942.80/1,414.51 = 455.78/x
  3. Step 3: Cross multiply
    942.80x = 1,414.51 × 455.78
  4. Step 4: Simplify right side
    942.80x = 644,707.76
  5. Step 5: Solve for x
    x = 644,707.76/942.80
  6. Step 6: Final answer
    x = 683.83

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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.