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Finding the Fourth Proportional to 542.08, 743.60 and 536.14

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Solution

The fourth proportional to 542.08, 743.60 and 536.14 is: 735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 743.60 = 536.14 : x
  2. Step 2: Convert to fraction form
    542.08/743.60 = 536.14/x
  3. Step 3: Cross multiply
    542.08x = 743.60 × 536.14
  4. Step 4: Simplify right side
    542.08x = 398,673.70
  5. Step 5: Solve for x
    x = 398,673.70/542.08
  6. Step 6: Final answer
    x = 735.45

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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.