Home / 1,338.20-2,006.04-472.04

Finding the Fourth Proportional to 1,338.20, 2,006.04 and 472.04

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Solution

The fourth proportional to 1,338.20, 2,006.04 and 472.04 is: 707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.20 : 2,006.04 = 472.04 : x
  2. Step 2: Convert to fraction form
    1,338.20/2,006.04 = 472.04/x
  3. Step 3: Cross multiply
    1,338.20x = 2,006.04 × 472.04
  4. Step 4: Simplify right side
    1,338.20x = 946,931.12
  5. Step 5: Solve for x
    x = 946,931.12/1,338.20
  6. Step 6: Final answer
    x = 707.62

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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.