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Finding the Fourth Proportional to 848.18, 1,272.81 and 361.23

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Solution

The fourth proportional to 848.18, 1,272.81 and 361.23 is: 542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.18 : 1,272.81 = 361.23 : x
  2. Step 2: Convert to fraction form
    848.18/1,272.81 = 361.23/x
  3. Step 3: Cross multiply
    848.18x = 1,272.81 × 361.23
  4. Step 4: Simplify right side
    848.18x = 459,777.16
  5. Step 5: Solve for x
    x = 459,777.16/848.18
  6. Step 6: Final answer
    x = 542.07

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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.