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Finding the Fourth Proportional to 465.88, 698.70 and 282.64

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Solution

The fourth proportional to 465.88, 698.70 and 282.64 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.88 : 698.70 = 282.64 : x
  2. Step 2: Convert to fraction form
    465.88/698.70 = 282.64/x
  3. Step 3: Cross multiply
    465.88x = 698.70 × 282.64
  4. Step 4: Simplify right side
    465.88x = 197,480.57
  5. Step 5: Solve for x
    x = 197,480.57/465.88
  6. Step 6: Final answer
    x = 423.89

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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.