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Finding the Fourth Proportional to 704, 976.02 and 665.12

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Solution

The fourth proportional to 704, 976.02 and 665.12 is: 922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    704 : 976.02 = 665.12 : x
  2. Step 2: Convert to fraction form
    704/976.02 = 665.12/x
  3. Step 3: Cross multiply
    704x = 976.02 × 665.12
  4. Step 4: Simplify right side
    704x = 649,170.42
  5. Step 5: Solve for x
    x = 649,170.42/704
  6. Step 6: Final answer
    x = 922.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.