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Finding the Fourth Proportional to 2,282.93, 3,423.99 and 639.07

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Solution

The fourth proportional to 2,282.93, 3,423.99 and 639.07 is: 958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.93 : 3,423.99 = 639.07 : x
  2. Step 2: Convert to fraction form
    2,282.93/3,423.99 = 639.07/x
  3. Step 3: Cross multiply
    2,282.93x = 3,423.99 × 639.07
  4. Step 4: Simplify right side
    2,282.93x = 2,188,178.79
  5. Step 5: Solve for x
    x = 2,188,178.79/2,282.93
  6. Step 6: Final answer
    x = 958.49

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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.