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Finding the Fourth Proportional to 938.78, 1,410.20 and 573.79

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Solution

The fourth proportional to 938.78, 1,410.20 and 573.79 is: 861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.78 : 1,410.20 = 573.79 : x
  2. Step 2: Convert to fraction form
    938.78/1,410.20 = 573.79/x
  3. Step 3: Cross multiply
    938.78x = 1,410.20 × 573.79
  4. Step 4: Simplify right side
    938.78x = 809,158.66
  5. Step 5: Solve for x
    x = 809,158.66/938.78
  6. Step 6: Final answer
    x = 861.93

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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.