Home / 1,664.24-2,496.38-786.46

Finding the Fourth Proportional to 1,664.24, 2,496.38 and 786.46

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Solution

The fourth proportional to 1,664.24, 2,496.38 and 786.46 is: 1,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.24 : 2,496.38 = 786.46 : x
  2. Step 2: Convert to fraction form
    1,664.24/2,496.38 = 786.46/x
  3. Step 3: Cross multiply
    1,664.24x = 2,496.38 × 786.46
  4. Step 4: Simplify right side
    1,664.24x = 1,963,303.01
  5. Step 5: Solve for x
    x = 1,963,303.01/1,664.24
  6. Step 6: Final answer
    x = 1,179.70

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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.