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Finding the Fourth Proportional to 482.73, 722.72 and 397.07

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Solution

The fourth proportional to 482.73, 722.72 and 397.07 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.73 : 722.72 = 397.07 : x
  2. Step 2: Convert to fraction form
    482.73/722.72 = 397.07/x
  3. Step 3: Cross multiply
    482.73x = 722.72 × 397.07
  4. Step 4: Simplify right side
    482.73x = 286,970.43
  5. Step 5: Solve for x
    x = 286,970.43/482.73
  6. Step 6: Final answer
    x = 594.47

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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.