Home / 1,646.94-2,272.14-1,057.80

Finding the Fourth Proportional to 1,646.94, 2,272.14 and 1,057.80

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Solution

The fourth proportional to 1,646.94, 2,272.14 and 1,057.80 is: 1,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.94 : 2,272.14 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    1,646.94/2,272.14 = 1,057.80/x
  3. Step 3: Cross multiply
    1,646.94x = 2,272.14 × 1,057.80
  4. Step 4: Simplify right side
    1,646.94x = 2,403,469.69
  5. Step 5: Solve for x
    x = 2,403,469.69/1,646.94
  6. Step 6: Final answer
    x = 1,459.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.