Home / 1,206.20-1,808.23-476.30

Finding the Fourth Proportional to 1,206.20, 1,808.23 and 476.30

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Solution

The fourth proportional to 1,206.20, 1,808.23 and 476.30 is: 714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.20 : 1,808.23 = 476.30 : x
  2. Step 2: Convert to fraction form
    1,206.20/1,808.23 = 476.30/x
  3. Step 3: Cross multiply
    1,206.20x = 1,808.23 × 476.30
  4. Step 4: Simplify right side
    1,206.20x = 861,259.95
  5. Step 5: Solve for x
    x = 861,259.95/1,206.20
  6. Step 6: Final answer
    x = 714.03

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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.