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Finding the Fourth Proportional to 943.23, 1,415.76 and 578.73

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Solution

The fourth proportional to 943.23, 1,415.76 and 578.73 is: 868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.23 : 1,415.76 = 578.73 : x
  2. Step 2: Convert to fraction form
    943.23/1,415.76 = 578.73/x
  3. Step 3: Cross multiply
    943.23x = 1,415.76 × 578.73
  4. Step 4: Simplify right side
    943.23x = 819,342.78
  5. Step 5: Solve for x
    x = 819,342.78/943.23
  6. Step 6: Final answer
    x = 868.66

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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.