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Finding the Fourth Proportional to 468.80, 656.80 and 468.80

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Solution

The fourth proportional to 468.80, 656.80 and 468.80 is: 656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 656.80 = 468.80 : x
  2. Step 2: Convert to fraction form
    468.80/656.80 = 468.80/x
  3. Step 3: Cross multiply
    468.80x = 656.80 × 468.80
  4. Step 4: Simplify right side
    468.80x = 307,907.84
  5. Step 5: Solve for x
    x = 307,907.84/468.80
  6. Step 6: Final answer
    x = 656.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.