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Finding the Fourth Proportional to 808.71, 1,110.63 and 677.49

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Solution

The fourth proportional to 808.71, 1,110.63 and 677.49 is: 930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.71 : 1,110.63 = 677.49 : x
  2. Step 2: Convert to fraction form
    808.71/1,110.63 = 677.49/x
  3. Step 3: Cross multiply
    808.71x = 1,110.63 × 677.49
  4. Step 4: Simplify right side
    808.71x = 752,440.72
  5. Step 5: Solve for x
    x = 752,440.72/808.71
  6. Step 6: Final answer
    x = 930.42

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1.5x scale

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.