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Finding the Fourth Proportional to 566.71, 777.05 and 511.21

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Solution

The fourth proportional to 566.71, 777.05 and 511.21 is: 700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 777.05 = 511.21 : x
  2. Step 2: Convert to fraction form
    566.71/777.05 = 511.21/x
  3. Step 3: Cross multiply
    566.71x = 777.05 × 511.21
  4. Step 4: Simplify right side
    566.71x = 397,235.73
  5. Step 5: Solve for x
    x = 397,235.73/566.71
  6. Step 6: Final answer
    x = 700.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.