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Finding the Fourth Proportional to 543.99, 811.53 and 529.11

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Solution

The fourth proportional to 543.99, 811.53 and 529.11 is: 789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.99 : 811.53 = 529.11 : x
  2. Step 2: Convert to fraction form
    543.99/811.53 = 529.11/x
  3. Step 3: Cross multiply
    543.99x = 811.53 × 529.11
  4. Step 4: Simplify right side
    543.99x = 429,388.64
  5. Step 5: Solve for x
    x = 429,388.64/543.99
  6. Step 6: Final answer
    x = 789.33

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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.