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Finding the Fourth Proportional to 478.74, 713.03 and 453.78

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Solution

The fourth proportional to 478.74, 713.03 and 453.78 is: 675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 713.03 = 453.78 : x
  2. Step 2: Convert to fraction form
    478.74/713.03 = 453.78/x
  3. Step 3: Cross multiply
    478.74x = 713.03 × 453.78
  4. Step 4: Simplify right side
    478.74x = 323,556.48
  5. Step 5: Solve for x
    x = 323,556.48/478.74
  6. Step 6: Final answer
    x = 675.85

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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.