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Finding the Fourth Proportional to 521.12, 777.61 and 475.12

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Solution

The fourth proportional to 521.12, 777.61 and 475.12 is: 708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 777.61 = 475.12 : x
  2. Step 2: Convert to fraction form
    521.12/777.61 = 475.12/x
  3. Step 3: Cross multiply
    521.12x = 777.61 × 475.12
  4. Step 4: Simplify right side
    521.12x = 369,458.06
  5. Step 5: Solve for x
    x = 369,458.06/521.12
  6. Step 6: Final answer
    x = 708.97

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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.