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Finding the Fourth Proportional to 491.43, 678.23 and 284.43

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Solution

The fourth proportional to 491.43, 678.23 and 284.43 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.43 : 678.23 = 284.43 : x
  2. Step 2: Convert to fraction form
    491.43/678.23 = 284.43/x
  3. Step 3: Cross multiply
    491.43x = 678.23 × 284.43
  4. Step 4: Simplify right side
    491.43x = 192,908.96
  5. Step 5: Solve for x
    x = 192,908.96/491.43
  6. Step 6: Final answer
    x = 392.55

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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.