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Finding the Fourth Proportional to 976.86, 1,348.06 and 557.23

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Solution

The fourth proportional to 976.86, 1,348.06 and 557.23 is: 768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,348.06 = 557.23 : x
  2. Step 2: Convert to fraction form
    976.86/1,348.06 = 557.23/x
  3. Step 3: Cross multiply
    976.86x = 1,348.06 × 557.23
  4. Step 4: Simplify right side
    976.86x = 751,179.47
  5. Step 5: Solve for x
    x = 751,179.47/976.86
  6. Step 6: Final answer
    x = 768.97

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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.