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Finding the Fourth Proportional to 940.78, 1,298.34 and 542.48

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Solution

The fourth proportional to 940.78, 1,298.34 and 542.48 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,298.34 = 542.48 : x
  2. Step 2: Convert to fraction form
    940.78/1,298.34 = 542.48/x
  3. Step 3: Cross multiply
    940.78x = 1,298.34 × 542.48
  4. Step 4: Simplify right side
    940.78x = 704,323.48
  5. Step 5: Solve for x
    x = 704,323.48/940.78
  6. Step 6: Final answer
    x = 748.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.