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Finding the Fourth Proportional to 652.20, 976.68 and 363.03

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Solution

The fourth proportional to 652.20, 976.68 and 363.03 is: 543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.20 : 976.68 = 363.03 : x
  2. Step 2: Convert to fraction form
    652.20/976.68 = 363.03/x
  3. Step 3: Cross multiply
    652.20x = 976.68 × 363.03
  4. Step 4: Simplify right side
    652.20x = 354,564.14
  5. Step 5: Solve for x
    x = 354,564.14/652.20
  6. Step 6: Final answer
    x = 543.64

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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.