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Finding the Fourth Proportional to 394.07, 588.71 and 283.50

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Solution

The fourth proportional to 394.07, 588.71 and 283.50 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.07 : 588.71 = 283.50 : x
  2. Step 2: Convert to fraction form
    394.07/588.71 = 283.50/x
  3. Step 3: Cross multiply
    394.07x = 588.71 × 283.50
  4. Step 4: Simplify right side
    394.07x = 166,897.87
  5. Step 5: Solve for x
    x = 166,897.87/394.07
  6. Step 6: Final answer
    x = 423.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.