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Finding the Fourth Proportional to 542.99, 742.91 and 540.69

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Solution

The fourth proportional to 542.99, 742.91 and 540.69 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.99 : 742.91 = 540.69 : x
  2. Step 2: Convert to fraction form
    542.99/742.91 = 540.69/x
  3. Step 3: Cross multiply
    542.99x = 742.91 × 540.69
  4. Step 4: Simplify right side
    542.99x = 401,681.30
  5. Step 5: Solve for x
    x = 401,681.30/542.99
  6. Step 6: Final answer
    x = 739.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.