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Finding the Fourth Proportional to 465.80, 674.45 and 465.80

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Solution

The fourth proportional to 465.80, 674.45 and 465.80 is: 674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 674.45 = 465.80 : x
  2. Step 2: Convert to fraction form
    465.80/674.45 = 465.80/x
  3. Step 3: Cross multiply
    465.80x = 674.45 × 465.80
  4. Step 4: Simplify right side
    465.80x = 314,158.81
  5. Step 5: Solve for x
    x = 314,158.81/465.80
  6. Step 6: Final answer
    x = 674.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.