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Finding the Fourth Proportional to 543.50, 809.64 and 509.88

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Solution

The fourth proportional to 543.50, 809.64 and 509.88 is: 759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 809.64 = 509.88 : x
  2. Step 2: Convert to fraction form
    543.50/809.64 = 509.88/x
  3. Step 3: Cross multiply
    543.50x = 809.64 × 509.88
  4. Step 4: Simplify right side
    543.50x = 412,822.28
  5. Step 5: Solve for x
    x = 412,822.28/543.50
  6. Step 6: Final answer
    x = 759.56

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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.