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Finding the Fourth Proportional to 2,286.74, 3,430.12 and 643.31

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Solution

The fourth proportional to 2,286.74, 3,430.12 and 643.31 is: 964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.74 : 3,430.12 = 643.31 : x
  2. Step 2: Convert to fraction form
    2,286.74/3,430.12 = 643.31/x
  3. Step 3: Cross multiply
    2,286.74x = 3,430.12 × 643.31
  4. Step 4: Simplify right side
    2,286.74x = 2,206,630.50
  5. Step 5: Solve for x
    x = 2,206,630.50/2,286.74
  6. Step 6: Final answer
    x = 964.97

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Double scale
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Similar ratio
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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.