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Finding the Fourth Proportional to 976.97, 1,458.47 and 942.78

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Solution

The fourth proportional to 976.97, 1,458.47 and 942.78 is: 1,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.97 : 1,458.47 = 942.78 : x
  2. Step 2: Convert to fraction form
    976.97/1,458.47 = 942.78/x
  3. Step 3: Cross multiply
    976.97x = 1,458.47 × 942.78
  4. Step 4: Simplify right side
    976.97x = 1,375,011.63
  5. Step 5: Solve for x
    x = 1,375,011.63/976.97
  6. Step 6: Final answer
    x = 1,407.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.