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Finding the Fourth Proportional to 482.96, 725.13 and 403.68

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Solution

The fourth proportional to 482.96, 725.13 and 403.68 is: 606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 725.13 = 403.68 : x
  2. Step 2: Convert to fraction form
    482.96/725.13 = 403.68/x
  3. Step 3: Cross multiply
    482.96x = 725.13 × 403.68
  4. Step 4: Simplify right side
    482.96x = 292,722.06
  5. Step 5: Solve for x
    x = 292,722.06/482.96
  6. Step 6: Final answer
    x = 606.10

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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.