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Finding the Fourth Proportional to 425.69, 588.54 and 295.67

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Solution

The fourth proportional to 425.69, 588.54 and 295.67 is: 408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.69 : 588.54 = 295.67 : x
  2. Step 2: Convert to fraction form
    425.69/588.54 = 295.67/x
  3. Step 3: Cross multiply
    425.69x = 588.54 × 295.67
  4. Step 4: Simplify right side
    425.69x = 174,013.62
  5. Step 5: Solve for x
    x = 174,013.62/425.69
  6. Step 6: Final answer
    x = 408.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.