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Finding the Fourth Proportional to 466.87, 702.39 and 284.41

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Solution

The fourth proportional to 466.87, 702.39 and 284.41 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.87 : 702.39 = 284.41 : x
  2. Step 2: Convert to fraction form
    466.87/702.39 = 284.41/x
  3. Step 3: Cross multiply
    466.87x = 702.39 × 284.41
  4. Step 4: Simplify right side
    466.87x = 199,766.74
  5. Step 5: Solve for x
    x = 199,766.74/466.87
  6. Step 6: Final answer
    x = 427.89

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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.