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Finding the Fourth Proportional to 564.17, 779.09 and 533.49

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Solution

The fourth proportional to 564.17, 779.09 and 533.49 is: 736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.17 : 779.09 = 533.49 : x
  2. Step 2: Convert to fraction form
    564.17/779.09 = 533.49/x
  3. Step 3: Cross multiply
    564.17x = 779.09 × 533.49
  4. Step 4: Simplify right side
    564.17x = 415,634.06
  5. Step 5: Solve for x
    x = 415,634.06/564.17
  6. Step 6: Final answer
    x = 736.72

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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.