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Finding the Fourth Proportional to 473.96, 653.82 and 284.80

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Solution

The fourth proportional to 473.96, 653.82 and 284.80 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.96 : 653.82 = 284.80 : x
  2. Step 2: Convert to fraction form
    473.96/653.82 = 284.80/x
  3. Step 3: Cross multiply
    473.96x = 653.82 × 284.80
  4. Step 4: Simplify right side
    473.96x = 186,207.94
  5. Step 5: Solve for x
    x = 186,207.94/473.96
  6. Step 6: Final answer
    x = 392.88

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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.