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Finding the Fourth Proportional to 1,178.46, 1,767.67 and 447.87

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Solution

The fourth proportional to 1,178.46, 1,767.67 and 447.87 is: 671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.46 : 1,767.67 = 447.87 : x
  2. Step 2: Convert to fraction form
    1,178.46/1,767.67 = 447.87/x
  3. Step 3: Cross multiply
    1,178.46x = 1,767.67 × 447.87
  4. Step 4: Simplify right side
    1,178.46x = 791,686.36
  5. Step 5: Solve for x
    x = 791,686.36/1,178.46
  6. Step 6: Final answer
    x = 671.80

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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.