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Finding the Fourth Proportional to 943.80, 1,415.63 and 552.57

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Solution

The fourth proportional to 943.80, 1,415.63 and 552.57 is: 828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.80 : 1,415.63 = 552.57 : x
  2. Step 2: Convert to fraction form
    943.80/1,415.63 = 552.57/x
  3. Step 3: Cross multiply
    943.80x = 1,415.63 × 552.57
  4. Step 4: Simplify right side
    943.80x = 782,231.91
  5. Step 5: Solve for x
    x = 782,231.91/943.80
  6. Step 6: Final answer
    x = 828.81

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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.