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Finding the Fourth Proportional to 847.86, 1,272.10 and 361.28

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Solution

The fourth proportional to 847.86, 1,272.10 and 361.28 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,272.10 = 361.28 : x
  2. Step 2: Convert to fraction form
    847.86/1,272.10 = 361.28/x
  3. Step 3: Cross multiply
    847.86x = 1,272.10 × 361.28
  4. Step 4: Simplify right side
    847.86x = 459,584.29
  5. Step 5: Solve for x
    x = 459,584.29/847.86
  6. Step 6: Final answer
    x = 542.05

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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.