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Finding the Fourth Proportional to 482.22, 718.34 and 480.06

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Solution

The fourth proportional to 482.22, 718.34 and 480.06 is: 715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.22 : 718.34 = 480.06 : x
  2. Step 2: Convert to fraction form
    482.22/718.34 = 480.06/x
  3. Step 3: Cross multiply
    482.22x = 718.34 × 480.06
  4. Step 4: Simplify right side
    482.22x = 344,843.90
  5. Step 5: Solve for x
    x = 344,843.90/482.22
  6. Step 6: Final answer
    x = 715.12

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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.