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Finding the Fourth Proportional to 832.16, 1,149.72 and 709.12

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Solution

The fourth proportional to 832.16, 1,149.72 and 709.12 is: 979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.16 : 1,149.72 = 709.12 : x
  2. Step 2: Convert to fraction form
    832.16/1,149.72 = 709.12/x
  3. Step 3: Cross multiply
    832.16x = 1,149.72 × 709.12
  4. Step 4: Simplify right side
    832.16x = 815,289.45
  5. Step 5: Solve for x
    x = 815,289.45/832.16
  6. Step 6: Final answer
    x = 979.73

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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.