Home / 1,712.90-2,569.34-414.37

Finding the Fourth Proportional to 1,712.90, 2,569.34 and 414.37

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Solution

The fourth proportional to 1,712.90, 2,569.34 and 414.37 is: 621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.90 : 2,569.34 = 414.37 : x
  2. Step 2: Convert to fraction form
    1,712.90/2,569.34 = 414.37/x
  3. Step 3: Cross multiply
    1,712.90x = 2,569.34 × 414.37
  4. Step 4: Simplify right side
    1,712.90x = 1,064,650.47
  5. Step 5: Solve for x
    x = 1,064,650.47/1,712.90
  6. Step 6: Final answer
    x = 621.55

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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.