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Finding the Fourth Proportional to 421.49, 630.87 and 363.17

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Solution

The fourth proportional to 421.49, 630.87 and 363.17 is: 543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.49 : 630.87 = 363.17 : x
  2. Step 2: Convert to fraction form
    421.49/630.87 = 363.17/x
  3. Step 3: Cross multiply
    421.49x = 630.87 × 363.17
  4. Step 4: Simplify right side
    421.49x = 229,113.06
  5. Step 5: Solve for x
    x = 229,113.06/421.49
  6. Step 6: Final answer
    x = 543.58

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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.