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Finding the Fourth Proportional to 909.13, 1,253.19 and 833.80

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Solution

The fourth proportional to 909.13, 1,253.19 and 833.80 is: 1,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.13 : 1,253.19 = 833.80 : x
  2. Step 2: Convert to fraction form
    909.13/1,253.19 = 833.80/x
  3. Step 3: Cross multiply
    909.13x = 1,253.19 × 833.80
  4. Step 4: Simplify right side
    909.13x = 1,044,909.82
  5. Step 5: Solve for x
    x = 1,044,909.82/909.13
  6. Step 6: Final answer
    x = 1,149.35

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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.