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Finding the Fourth Proportional to 878.40, 1,212.84 and 616.77

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Solution

The fourth proportional to 878.40, 1,212.84 and 616.77 is: 851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.40 : 1,212.84 = 616.77 : x
  2. Step 2: Convert to fraction form
    878.40/1,212.84 = 616.77/x
  3. Step 3: Cross multiply
    878.40x = 1,212.84 × 616.77
  4. Step 4: Simplify right side
    878.40x = 748,043.33
  5. Step 5: Solve for x
    x = 748,043.33/878.40
  6. Step 6: Final answer
    x = 851.60

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1.5x scale

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.