Home / 1,569.19-2,353.94-414.94

Finding the Fourth Proportional to 1,569.19, 2,353.94 and 414.94

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Solution

The fourth proportional to 1,569.19, 2,353.94 and 414.94 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.19 : 2,353.94 = 414.94 : x
  2. Step 2: Convert to fraction form
    1,569.19/2,353.94 = 414.94/x
  3. Step 3: Cross multiply
    1,569.19x = 2,353.94 × 414.94
  4. Step 4: Simplify right side
    1,569.19x = 976,739.02
  5. Step 5: Solve for x
    x = 976,739.02/1,569.19
  6. Step 6: Final answer
    x = 622.45

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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.