Home / 1,294.31-1,784.60-1,057.38

Finding the Fourth Proportional to 1,294.31, 1,784.60 and 1,057.38

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Solution

The fourth proportional to 1,294.31, 1,784.60 and 1,057.38 is: 1,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.31 : 1,784.60 = 1,057.38 : x
  2. Step 2: Convert to fraction form
    1,294.31/1,784.60 = 1,057.38/x
  3. Step 3: Cross multiply
    1,294.31x = 1,784.60 × 1,057.38
  4. Step 4: Simplify right side
    1,294.31x = 1,886,995.06
  5. Step 5: Solve for x
    x = 1,886,995.06/1,294.31
  6. Step 6: Final answer
    x = 1,457.92

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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.