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Finding the Fourth Proportional to 432.19, 647.83 and 362.94

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Solution

The fourth proportional to 432.19, 647.83 and 362.94 is: 544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 647.83 = 362.94 : x
  2. Step 2: Convert to fraction form
    432.19/647.83 = 362.94/x
  3. Step 3: Cross multiply
    432.19x = 647.83 × 362.94
  4. Step 4: Simplify right side
    432.19x = 235,121.44
  5. Step 5: Solve for x
    x = 235,121.44/432.19
  6. Step 6: Final answer
    x = 544.02

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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.