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Finding the Fourth Proportional to 482.07, 721.49 and 288.75

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Solution

The fourth proportional to 482.07, 721.49 and 288.75 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.07 : 721.49 = 288.75 : x
  2. Step 2: Convert to fraction form
    482.07/721.49 = 288.75/x
  3. Step 3: Cross multiply
    482.07x = 721.49 × 288.75
  4. Step 4: Simplify right side
    482.07x = 208,328.79
  5. Step 5: Solve for x
    x = 208,328.79/482.07
  6. Step 6: Final answer
    x = 432.15

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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.