Home / 1,713.09-2,569.65-414.57

Finding the Fourth Proportional to 1,713.09, 2,569.65 and 414.57

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Solution

The fourth proportional to 1,713.09, 2,569.65 and 414.57 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.09 : 2,569.65 = 414.57 : x
  2. Step 2: Convert to fraction form
    1,713.09/2,569.65 = 414.57/x
  3. Step 3: Cross multiply
    1,713.09x = 2,569.65 × 414.57
  4. Step 4: Simplify right side
    1,713.09x = 1,065,299.80
  5. Step 5: Solve for x
    x = 1,065,299.80/1,713.09
  6. Step 6: Final answer
    x = 621.86

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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.