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Finding the Fourth Proportional to 542.43, 809.38 and 509.36

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Solution

The fourth proportional to 542.43, 809.38 and 509.36 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 809.38 = 509.36 : x
  2. Step 2: Convert to fraction form
    542.43/809.38 = 509.36/x
  3. Step 3: Cross multiply
    542.43x = 809.38 × 509.36
  4. Step 4: Simplify right side
    542.43x = 412,266.35
  5. Step 5: Solve for x
    x = 412,266.35/542.43
  6. Step 6: Final answer
    x = 760.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.