Home / 1,664.61-2,496.92-431.94

Finding the Fourth Proportional to 1,664.61, 2,496.92 and 431.94

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Solution

The fourth proportional to 1,664.61, 2,496.92 and 431.94 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.61 : 2,496.92 = 431.94 : x
  2. Step 2: Convert to fraction form
    1,664.61/2,496.92 = 431.94/x
  3. Step 3: Cross multiply
    1,664.61x = 2,496.92 × 431.94
  4. Step 4: Simplify right side
    1,664.61x = 1,078,517.47
  5. Step 5: Solve for x
    x = 1,078,517.47/1,664.61
  6. Step 6: Final answer
    x = 647.91

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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.