Home / 1,569.13-2,353.45-414.97

Finding the Fourth Proportional to 1,569.13, 2,353.45 and 414.97

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Solution

The fourth proportional to 1,569.13, 2,353.45 and 414.97 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.13 : 2,353.45 = 414.97 : x
  2. Step 2: Convert to fraction form
    1,569.13/2,353.45 = 414.97/x
  3. Step 3: Cross multiply
    1,569.13x = 2,353.45 × 414.97
  4. Step 4: Simplify right side
    1,569.13x = 976,611.15
  5. Step 5: Solve for x
    x = 976,611.15/1,569.13
  6. Step 6: Final answer
    x = 622.39

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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.