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Finding the Fourth Proportional to 482.88, 720.24 and 475.68

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Solution

The fourth proportional to 482.88, 720.24 and 475.68 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.88 : 720.24 = 475.68 : x
  2. Step 2: Convert to fraction form
    482.88/720.24 = 475.68/x
  3. Step 3: Cross multiply
    482.88x = 720.24 × 475.68
  4. Step 4: Simplify right side
    482.88x = 342,603.76
  5. Step 5: Solve for x
    x = 342,603.76/482.88
  6. Step 6: Final answer
    x = 709.50

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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.