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Finding the Fourth Proportional to 564.06, 777.07 and 536.27

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Solution

The fourth proportional to 564.06, 777.07 and 536.27 is: 738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 777.07 = 536.27 : x
  2. Step 2: Convert to fraction form
    564.06/777.07 = 536.27/x
  3. Step 3: Cross multiply
    564.06x = 777.07 × 536.27
  4. Step 4: Simplify right side
    564.06x = 416,718.98
  5. Step 5: Solve for x
    x = 416,718.98/564.06
  6. Step 6: Final answer
    x = 738.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.