Home / 1,049.31-1,574.19-400.23

Finding the Fourth Proportional to 1,049.31, 1,574.19 and 400.23

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Solution

The fourth proportional to 1,049.31, 1,574.19 and 400.23 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.31 : 1,574.19 = 400.23 : x
  2. Step 2: Convert to fraction form
    1,049.31/1,574.19 = 400.23/x
  3. Step 3: Cross multiply
    1,049.31x = 1,574.19 × 400.23
  4. Step 4: Simplify right side
    1,049.31x = 630,038.06
  5. Step 5: Solve for x
    x = 630,038.06/1,049.31
  6. Step 6: Final answer
    x = 600.43

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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.