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Finding the Fourth Proportional to 2,287.57, 3,431.36 and 556.18

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Solution

The fourth proportional to 2,287.57, 3,431.36 and 556.18 is: 834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.57 : 3,431.36 = 556.18 : x
  2. Step 2: Convert to fraction form
    2,287.57/3,431.36 = 556.18/x
  3. Step 3: Cross multiply
    2,287.57x = 3,431.36 × 556.18
  4. Step 4: Simplify right side
    2,287.57x = 1,908,451.02
  5. Step 5: Solve for x
    x = 1,908,451.02/2,287.57
  6. Step 6: Final answer
    x = 834.27

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1.5x scale

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.