Home / 1,149.19-1,724.56-455.87

Finding the Fourth Proportional to 1,149.19, 1,724.56 and 455.87

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Solution

The fourth proportional to 1,149.19, 1,724.56 and 455.87 is: 684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.19 : 1,724.56 = 455.87 : x
  2. Step 2: Convert to fraction form
    1,149.19/1,724.56 = 455.87/x
  3. Step 3: Cross multiply
    1,149.19x = 1,724.56 × 455.87
  4. Step 4: Simplify right side
    1,149.19x = 786,178.34
  5. Step 5: Solve for x
    x = 786,178.34/1,149.19
  6. Step 6: Final answer
    x = 684.12

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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.