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Finding the Fourth Proportional to 456.90, 686.70 and 448.80

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Solution

The fourth proportional to 456.90, 686.70 and 448.80 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 686.70 = 448.80 : x
  2. Step 2: Convert to fraction form
    456.90/686.70 = 448.80/x
  3. Step 3: Cross multiply
    456.90x = 686.70 × 448.80
  4. Step 4: Simplify right side
    456.90x = 308,190.96
  5. Step 5: Solve for x
    x = 308,190.96/456.90
  6. Step 6: Final answer
    x = 674.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.