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Finding the Fourth Proportional to 976.72, 1,347.97 and 557.21

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Solution

The fourth proportional to 976.72, 1,347.97 and 557.21 is: 769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.72 : 1,347.97 = 557.21 : x
  2. Step 2: Convert to fraction form
    976.72/1,347.97 = 557.21/x
  3. Step 3: Cross multiply
    976.72x = 1,347.97 × 557.21
  4. Step 4: Simplify right side
    976.72x = 751,094.23
  5. Step 5: Solve for x
    x = 751,094.23/976.72
  6. Step 6: Final answer
    x = 769.00

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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.