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Finding the Fourth Proportional to 491.75, 678.62 and 284.75

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Solution

The fourth proportional to 491.75, 678.62 and 284.75 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.75 : 678.62 = 284.75 : x
  2. Step 2: Convert to fraction form
    491.75/678.62 = 284.75/x
  3. Step 3: Cross multiply
    491.75x = 678.62 × 284.75
  4. Step 4: Simplify right side
    491.75x = 193,235.62
  5. Step 5: Solve for x
    x = 193,235.62/491.75
  6. Step 6: Final answer
    x = 392.96

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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.