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Finding the Fourth Proportional to 808.19, 1,122.83 and 798.47

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Solution

The fourth proportional to 808.19, 1,122.83 and 798.47 is: 1,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.19 : 1,122.83 = 798.47 : x
  2. Step 2: Convert to fraction form
    808.19/1,122.83 = 798.47/x
  3. Step 3: Cross multiply
    808.19x = 1,122.83 × 798.47
  4. Step 4: Simplify right side
    808.19x = 896,549.98
  5. Step 5: Solve for x
    x = 896,549.98/808.19
  6. Step 6: Final answer
    x = 1,109.32

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1.5x scale

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.