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Finding the Fourth Proportional to 482.64, 722.17 and 287.75

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Solution

The fourth proportional to 482.64, 722.17 and 287.75 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 722.17 = 287.75 : x
  2. Step 2: Convert to fraction form
    482.64/722.17 = 287.75/x
  3. Step 3: Cross multiply
    482.64x = 722.17 × 287.75
  4. Step 4: Simplify right side
    482.64x = 207,806.58
  5. Step 5: Solve for x
    x = 207,806.58/482.64
  6. Step 6: Final answer
    x = 430.56

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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.