Home / 1,569.29-2,353.94-415.04

Finding the Fourth Proportional to 1,569.29, 2,353.94 and 415.04

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Solution

The fourth proportional to 1,569.29, 2,353.94 and 415.04 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.29 : 2,353.94 = 415.04 : x
  2. Step 2: Convert to fraction form
    1,569.29/2,353.94 = 415.04/x
  3. Step 3: Cross multiply
    1,569.29x = 2,353.94 × 415.04
  4. Step 4: Simplify right side
    1,569.29x = 976,968.53
  5. Step 5: Solve for x
    x = 976,968.53/1,569.29
  6. Step 6: Final answer
    x = 622.56

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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.