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Finding the Fourth Proportional to 480, 720.09 and 284.91

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Solution

The fourth proportional to 480, 720.09 and 284.91 is: 427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 720.09 = 284.91 : x
  2. Step 2: Convert to fraction form
    480/720.09 = 284.91/x
  3. Step 3: Cross multiply
    480x = 720.09 × 284.91
  4. Step 4: Simplify right side
    480x = 205,160.84
  5. Step 5: Solve for x
    x = 205,160.84/480
  6. Step 6: Final answer
    x = 427.42

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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.