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Finding the Fourth Proportional to 470.56, 701.87 and 404.80

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Solution

The fourth proportional to 470.56, 701.87 and 404.80 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 701.87 = 404.80 : x
  2. Step 2: Convert to fraction form
    470.56/701.87 = 404.80/x
  3. Step 3: Cross multiply
    470.56x = 701.87 × 404.80
  4. Step 4: Simplify right side
    470.56x = 284,116.98
  5. Step 5: Solve for x
    x = 284,116.98/470.56
  6. Step 6: Final answer
    x = 603.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.