Home / 1,205.18-1,808.40-474.80

Finding the Fourth Proportional to 1,205.18, 1,808.40 and 474.80

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Solution

The fourth proportional to 1,205.18, 1,808.40 and 474.80 is: 712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,808.40 = 474.80 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,808.40 = 474.80/x
  3. Step 3: Cross multiply
    1,205.18x = 1,808.40 × 474.80
  4. Step 4: Simplify right side
    1,205.18x = 858,628.32
  5. Step 5: Solve for x
    x = 858,628.32/1,205.18
  6. Step 6: Final answer
    x = 712.45

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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.