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Finding the Fourth Proportional to 517.85, 776.77 and 491.89

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Solution

The fourth proportional to 517.85, 776.77 and 491.89 is: 737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.85 : 776.77 = 491.89 : x
  2. Step 2: Convert to fraction form
    517.85/776.77 = 491.89/x
  3. Step 3: Cross multiply
    517.85x = 776.77 × 491.89
  4. Step 4: Simplify right side
    517.85x = 382,082.94
  5. Step 5: Solve for x
    x = 382,082.94/517.85
  6. Step 6: Final answer
    x = 737.83

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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.