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Finding the Fourth Proportional to 477.80, 667.30 and 477.80

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Solution

The fourth proportional to 477.80, 667.30 and 477.80 is: 667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 667.30 = 477.80 : x
  2. Step 2: Convert to fraction form
    477.80/667.30 = 477.80/x
  3. Step 3: Cross multiply
    477.80x = 667.30 × 477.80
  4. Step 4: Simplify right side
    477.80x = 318,835.94
  5. Step 5: Solve for x
    x = 318,835.94/477.80
  6. Step 6: Final answer
    x = 667.30

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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.