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Finding the Fourth Proportional to 880.74, 1,220.98 and 833.92

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Solution

The fourth proportional to 880.74, 1,220.98 and 833.92 is: 1,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.74 : 1,220.98 = 833.92 : x
  2. Step 2: Convert to fraction form
    880.74/1,220.98 = 833.92/x
  3. Step 3: Cross multiply
    880.74x = 1,220.98 × 833.92
  4. Step 4: Simplify right side
    880.74x = 1,018,201.85
  5. Step 5: Solve for x
    x = 1,018,201.85/880.74
  6. Step 6: Final answer
    x = 1,156.08

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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.