Home / 1,712.72-2,569.10-414.19

Finding the Fourth Proportional to 1,712.72, 2,569.10 and 414.19

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Solution

The fourth proportional to 1,712.72, 2,569.10 and 414.19 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.72 : 2,569.10 = 414.19 : x
  2. Step 2: Convert to fraction form
    1,712.72/2,569.10 = 414.19/x
  3. Step 3: Cross multiply
    1,712.72x = 2,569.10 × 414.19
  4. Step 4: Simplify right side
    1,712.72x = 1,064,087.04
  5. Step 5: Solve for x
    x = 1,064,087.04/1,712.72
  6. Step 6: Final answer
    x = 621.28

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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.