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Finding the Fourth Proportional to 517.89, 772.08 and 500.07

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Solution

The fourth proportional to 517.89, 772.08 and 500.07 is: 745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 772.08 = 500.07 : x
  2. Step 2: Convert to fraction form
    517.89/772.08 = 500.07/x
  3. Step 3: Cross multiply
    517.89x = 772.08 × 500.07
  4. Step 4: Simplify right side
    517.89x = 386,094.05
  5. Step 5: Solve for x
    x = 386,094.05/517.89
  6. Step 6: Final answer
    x = 745.51

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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.