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Finding the Fourth Proportional to 542.89, 748.81 and 367.93

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Solution

The fourth proportional to 542.89, 748.81 and 367.93 is: 507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 748.81 = 367.93 : x
  2. Step 2: Convert to fraction form
    542.89/748.81 = 367.93/x
  3. Step 3: Cross multiply
    542.89x = 748.81 × 367.93
  4. Step 4: Simplify right side
    542.89x = 275,509.66
  5. Step 5: Solve for x
    x = 275,509.66/542.89
  6. Step 6: Final answer
    x = 507.49

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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.