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Finding the Fourth Proportional to 942.39, 1,414.40 and 455.85

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Solution

The fourth proportional to 942.39, 1,414.40 and 455.85 is: 684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.39 : 1,414.40 = 455.85 : x
  2. Step 2: Convert to fraction form
    942.39/1,414.40 = 455.85/x
  3. Step 3: Cross multiply
    942.39x = 1,414.40 × 455.85
  4. Step 4: Simplify right side
    942.39x = 644,751.96
  5. Step 5: Solve for x
    x = 644,751.96/942.39
  6. Step 6: Final answer
    x = 684.17

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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.