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Finding the Fourth Proportional to 2,286.54, 3,429.63 and 643.01

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Solution

The fourth proportional to 2,286.54, 3,429.63 and 643.01 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.54 : 3,429.63 = 643.01 : x
  2. Step 2: Convert to fraction form
    2,286.54/3,429.63 = 643.01/x
  3. Step 3: Cross multiply
    2,286.54x = 3,429.63 × 643.01
  4. Step 4: Simplify right side
    2,286.54x = 2,205,269.24
  5. Step 5: Solve for x
    x = 2,205,269.24/2,286.54
  6. Step 6: Final answer
    x = 964.46

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Double scale
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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.