Home / 1,711.23-2,566.85-412.70

Finding the Fourth Proportional to 1,711.23, 2,566.85 and 412.70

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Solution

The fourth proportional to 1,711.23, 2,566.85 and 412.70 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.23 : 2,566.85 = 412.70 : x
  2. Step 2: Convert to fraction form
    1,711.23/2,566.85 = 412.70/x
  3. Step 3: Cross multiply
    1,711.23x = 2,566.85 × 412.70
  4. Step 4: Simplify right side
    1,711.23x = 1,059,324.10
  5. Step 5: Solve for x
    x = 1,059,324.10/1,711.23
  6. Step 6: Final answer
    x = 619.04

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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.