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Finding the Fourth Proportional to 543.50, 813.36 and 511.91

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Solution

The fourth proportional to 543.50, 813.36 and 511.91 is: 766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 813.36 = 511.91 : x
  2. Step 2: Convert to fraction form
    543.50/813.36 = 511.91/x
  3. Step 3: Cross multiply
    543.50x = 813.36 × 511.91
  4. Step 4: Simplify right side
    543.50x = 416,367.12
  5. Step 5: Solve for x
    x = 416,367.12/543.50
  6. Step 6: Final answer
    x = 766.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.