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Finding the Fourth Proportional to 543.24, 809.71 and 538.99

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Solution

The fourth proportional to 543.24, 809.71 and 538.99 is: 803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 809.71 = 538.99 : x
  2. Step 2: Convert to fraction form
    543.24/809.71 = 538.99/x
  3. Step 3: Cross multiply
    543.24x = 809.71 × 538.99
  4. Step 4: Simplify right side
    543.24x = 436,422.22
  5. Step 5: Solve for x
    x = 436,422.22/543.24
  6. Step 6: Final answer
    x = 803.37

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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.