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Finding the Fourth Proportional to 708.53, 1,061.87 and 361.55

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Solution

The fourth proportional to 708.53, 1,061.87 and 361.55 is: 541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.53 : 1,061.87 = 361.55 : x
  2. Step 2: Convert to fraction form
    708.53/1,061.87 = 361.55/x
  3. Step 3: Cross multiply
    708.53x = 1,061.87 × 361.55
  4. Step 4: Simplify right side
    708.53x = 383,919.95
  5. Step 5: Solve for x
    x = 383,919.95/708.53
  6. Step 6: Final answer
    x = 541.86

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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.