Home / 1,664.45-2,496.80-971.18

Finding the Fourth Proportional to 1,664.45, 2,496.80 and 971.18

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Solution

The fourth proportional to 1,664.45, 2,496.80 and 971.18 is: 1,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.45 : 2,496.80 = 971.18 : x
  2. Step 2: Convert to fraction form
    1,664.45/2,496.80 = 971.18/x
  3. Step 3: Cross multiply
    1,664.45x = 2,496.80 × 971.18
  4. Step 4: Simplify right side
    1,664.45x = 2,424,843.61
  5. Step 5: Solve for x
    x = 2,424,843.61/1,664.45
  6. Step 6: Final answer
    x = 1,456.85

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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.