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Finding the Fourth Proportional to 517.77, 775.74 and 505.01

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Solution

The fourth proportional to 517.77, 775.74 and 505.01 is: 756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.77 : 775.74 = 505.01 : x
  2. Step 2: Convert to fraction form
    517.77/775.74 = 505.01/x
  3. Step 3: Cross multiply
    517.77x = 775.74 × 505.01
  4. Step 4: Simplify right side
    517.77x = 391,756.46
  5. Step 5: Solve for x
    x = 391,756.46/517.77
  6. Step 6: Final answer
    x = 756.62

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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.