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Finding the Fourth Proportional to 543.59, 809.78 and 509.98

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Solution

The fourth proportional to 543.59, 809.78 and 509.98 is: 759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.59 : 809.78 = 509.98 : x
  2. Step 2: Convert to fraction form
    543.59/809.78 = 509.98/x
  3. Step 3: Cross multiply
    543.59x = 809.78 × 509.98
  4. Step 4: Simplify right side
    543.59x = 412,967.03
  5. Step 5: Solve for x
    x = 412,967.03/543.59
  6. Step 6: Final answer
    x = 759.70

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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.