Home / 1,049.50-1,574.34-356.14

Finding the Fourth Proportional to 1,049.50, 1,574.34 and 356.14

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Solution

The fourth proportional to 1,049.50, 1,574.34 and 356.14 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.50 : 1,574.34 = 356.14 : x
  2. Step 2: Convert to fraction form
    1,049.50/1,574.34 = 356.14/x
  3. Step 3: Cross multiply
    1,049.50x = 1,574.34 × 356.14
  4. Step 4: Simplify right side
    1,049.50x = 560,685.45
  5. Step 5: Solve for x
    x = 560,685.45/1,049.50
  6. Step 6: Final answer
    x = 534.24

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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.