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Finding the Fourth Proportional to 480.33, 653.67 and 477.90

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Solution

The fourth proportional to 480.33, 653.67 and 477.90 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.33 : 653.67 = 477.90 : x
  2. Step 2: Convert to fraction form
    480.33/653.67 = 477.90/x
  3. Step 3: Cross multiply
    480.33x = 653.67 × 477.90
  4. Step 4: Simplify right side
    480.33x = 312,388.89
  5. Step 5: Solve for x
    x = 312,388.89/480.33
  6. Step 6: Final answer
    x = 650.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.