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Finding the Fourth Proportional to 847.88, 1,272.20 and 361.24

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Solution

The fourth proportional to 847.88, 1,272.20 and 361.24 is: 542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.88 : 1,272.20 = 361.24 : x
  2. Step 2: Convert to fraction form
    847.88/1,272.20 = 361.24/x
  3. Step 3: Cross multiply
    847.88x = 1,272.20 × 361.24
  4. Step 4: Simplify right side
    847.88x = 459,569.53
  5. Step 5: Solve for x
    x = 459,569.53/847.88
  6. Step 6: Final answer
    x = 542.02

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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.