Home / 1,569.82-2,354.85-415.57

Finding the Fourth Proportional to 1,569.82, 2,354.85 and 415.57

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Solution

The fourth proportional to 1,569.82, 2,354.85 and 415.57 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.82 : 2,354.85 = 415.57 : x
  2. Step 2: Convert to fraction form
    1,569.82/2,354.85 = 415.57/x
  3. Step 3: Cross multiply
    1,569.82x = 2,354.85 × 415.57
  4. Step 4: Simplify right side
    1,569.82x = 978,605.01
  5. Step 5: Solve for x
    x = 978,605.01/1,569.82
  6. Step 6: Final answer
    x = 623.39

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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.