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Finding the Fourth Proportional to 520.40, 775.93 and 511.17

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Solution

The fourth proportional to 520.40, 775.93 and 511.17 is: 762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 775.93 = 511.17 : x
  2. Step 2: Convert to fraction form
    520.40/775.93 = 511.17/x
  3. Step 3: Cross multiply
    520.40x = 775.93 × 511.17
  4. Step 4: Simplify right side
    520.40x = 396,634.36
  5. Step 5: Solve for x
    x = 396,634.36/520.40
  6. Step 6: Final answer
    x = 762.17

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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.