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Finding the Fourth Proportional to 515.77, 772.74 and 459.27

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Solution

The fourth proportional to 515.77, 772.74 and 459.27 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.77 : 772.74 = 459.27 : x
  2. Step 2: Convert to fraction form
    515.77/772.74 = 459.27/x
  3. Step 3: Cross multiply
    515.77x = 772.74 × 459.27
  4. Step 4: Simplify right side
    515.77x = 354,896.30
  5. Step 5: Solve for x
    x = 354,896.30/515.77
  6. Step 6: Final answer
    x = 688.09

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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.