Home / 1,471.08-2,206.62-649.35

Finding the Fourth Proportional to 1,471.08, 2,206.62 and 649.35

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Solution

The fourth proportional to 1,471.08, 2,206.62 and 649.35 is: 974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.08 : 2,206.62 = 649.35 : x
  2. Step 2: Convert to fraction form
    1,471.08/2,206.62 = 649.35/x
  3. Step 3: Cross multiply
    1,471.08x = 2,206.62 × 649.35
  4. Step 4: Simplify right side
    1,471.08x = 1,432,868.70
  5. Step 5: Solve for x
    x = 1,432,868.70/1,471.08
  6. Step 6: Final answer
    x = 974.03

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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.