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Finding the Fourth Proportional to 482.74, 724.82 and 459.58

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Solution

The fourth proportional to 482.74, 724.82 and 459.58 is: 690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.74 : 724.82 = 459.58 : x
  2. Step 2: Convert to fraction form
    482.74/724.82 = 459.58/x
  3. Step 3: Cross multiply
    482.74x = 724.82 × 459.58
  4. Step 4: Simplify right side
    482.74x = 333,112.78
  5. Step 5: Solve for x
    x = 333,112.78/482.74
  6. Step 6: Final answer
    x = 690.05

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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.