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Finding the Fourth Proportional to 470.80, 701.19 and 453.79

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Solution

The fourth proportional to 470.80, 701.19 and 453.79 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 701.19 = 453.79 : x
  2. Step 2: Convert to fraction form
    470.80/701.19 = 453.79/x
  3. Step 3: Cross multiply
    470.80x = 701.19 × 453.79
  4. Step 4: Simplify right side
    470.80x = 318,193.01
  5. Step 5: Solve for x
    x = 318,193.01/470.80
  6. Step 6: Final answer
    x = 675.86

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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.