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Finding the Fourth Proportional to 847.92, 1,272.66 and 361.32

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Solution

The fourth proportional to 847.92, 1,272.66 and 361.32 is: 542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.92 : 1,272.66 = 361.32 : x
  2. Step 2: Convert to fraction form
    847.92/1,272.66 = 361.32/x
  3. Step 3: Cross multiply
    847.92x = 1,272.66 × 361.32
  4. Step 4: Simplify right side
    847.92x = 459,837.51
  5. Step 5: Solve for x
    x = 459,837.51/847.92
  6. Step 6: Final answer
    x = 542.31

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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.