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Finding the Fourth Proportional to 662.69, 913.71 and 572.80

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Solution

The fourth proportional to 662.69, 913.71 and 572.80 is: 789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.69 : 913.71 = 572.80 : x
  2. Step 2: Convert to fraction form
    662.69/913.71 = 572.80/x
  3. Step 3: Cross multiply
    662.69x = 913.71 × 572.80
  4. Step 4: Simplify right side
    662.69x = 523,370.64
  5. Step 5: Solve for x
    x = 523,370.64/662.69
  6. Step 6: Final answer
    x = 789.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.