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Finding the Fourth Proportional to 909.42, 1,247.90 and 826.26

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Solution

The fourth proportional to 909.42, 1,247.90 and 826.26 is: 1,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.42 : 1,247.90 = 826.26 : x
  2. Step 2: Convert to fraction form
    909.42/1,247.90 = 826.26/x
  3. Step 3: Cross multiply
    909.42x = 1,247.90 × 826.26
  4. Step 4: Simplify right side
    909.42x = 1,031,089.85
  5. Step 5: Solve for x
    x = 1,031,089.85/909.42
  6. Step 6: Final answer
    x = 1,133.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.