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Finding the Fourth Proportional to 552.06, 829.17 and 517.50

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Solution

The fourth proportional to 552.06, 829.17 and 517.50 is: 777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 829.17 = 517.50 : x
  2. Step 2: Convert to fraction form
    552.06/829.17 = 517.50/x
  3. Step 3: Cross multiply
    552.06x = 829.17 × 517.50
  4. Step 4: Simplify right side
    552.06x = 429,095.48
  5. Step 5: Solve for x
    x = 429,095.48/552.06
  6. Step 6: Final answer
    x = 777.26

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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.