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Finding the Fourth Proportional to 854.33, 1,280.58 and 361.00

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Solution

The fourth proportional to 854.33, 1,280.58 and 361.00 is: 541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.33 : 1,280.58 = 361.00 : x
  2. Step 2: Convert to fraction form
    854.33/1,280.58 = 361.00/x
  3. Step 3: Cross multiply
    854.33x = 1,280.58 × 361.00
  4. Step 4: Simplify right side
    854.33x = 462,289.63
  5. Step 5: Solve for x
    x = 462,289.63/854.33
  6. Step 6: Final answer
    x = 541.12

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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.