Home / 1,474.08-2,206.80-823.20

Finding the Fourth Proportional to 1,474.08, 2,206.80 and 823.20

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Solution

The fourth proportional to 1,474.08, 2,206.80 and 823.20 is: 1,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.08 : 2,206.80 = 823.20 : x
  2. Step 2: Convert to fraction form
    1,474.08/2,206.80 = 823.20/x
  3. Step 3: Cross multiply
    1,474.08x = 2,206.80 × 823.20
  4. Step 4: Simplify right side
    1,474.08x = 1,816,637.76
  5. Step 5: Solve for x
    x = 1,816,637.76/1,474.08
  6. Step 6: Final answer
    x = 1,232.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.