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Finding the Fourth Proportional to 482.40, 717.69 and 480.78

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Solution

The fourth proportional to 482.40, 717.69 and 480.78 is: 715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.40 : 717.69 = 480.78 : x
  2. Step 2: Convert to fraction form
    482.40/717.69 = 480.78/x
  3. Step 3: Cross multiply
    482.40x = 717.69 × 480.78
  4. Step 4: Simplify right side
    482.40x = 345,051.00
  5. Step 5: Solve for x
    x = 345,051.00/482.40
  6. Step 6: Final answer
    x = 715.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.