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Finding the Fourth Proportional to 480.88, 722.13 and 428.91

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Solution

The fourth proportional to 480.88, 722.13 and 428.91 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.88 : 722.13 = 428.91 : x
  2. Step 2: Convert to fraction form
    480.88/722.13 = 428.91/x
  3. Step 3: Cross multiply
    480.88x = 722.13 × 428.91
  4. Step 4: Simplify right side
    480.88x = 309,728.78
  5. Step 5: Solve for x
    x = 309,728.78/480.88
  6. Step 6: Final answer
    x = 644.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.