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Finding the Fourth Proportional to 517.88, 776.20 and 309.35

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Solution

The fourth proportional to 517.88, 776.20 and 309.35 is: 463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 776.20 = 309.35 : x
  2. Step 2: Convert to fraction form
    517.88/776.20 = 309.35/x
  3. Step 3: Cross multiply
    517.88x = 776.20 × 309.35
  4. Step 4: Simplify right side
    517.88x = 240,117.47
  5. Step 5: Solve for x
    x = 240,117.47/517.88
  6. Step 6: Final answer
    x = 463.65

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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.