Home / 2,209.65-3,314.59-566.21

Finding the Fourth Proportional to 2,209.65, 3,314.59 and 566.21

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Solution

The fourth proportional to 2,209.65, 3,314.59 and 566.21 is: 849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.65 : 3,314.59 = 566.21 : x
  2. Step 2: Convert to fraction form
    2,209.65/3,314.59 = 566.21/x
  3. Step 3: Cross multiply
    2,209.65x = 3,314.59 × 566.21
  4. Step 4: Simplify right side
    2,209.65x = 1,876,742.23
  5. Step 5: Solve for x
    x = 1,876,742.23/2,209.65
  6. Step 6: Final answer
    x = 849.34

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1.5x scale

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.