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Finding the Fourth Proportional to 564.82, 778.10 and 537.02

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Solution

The fourth proportional to 564.82, 778.10 and 537.02 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 778.10 = 537.02 : x
  2. Step 2: Convert to fraction form
    564.82/778.10 = 537.02/x
  3. Step 3: Cross multiply
    564.82x = 778.10 × 537.02
  4. Step 4: Simplify right side
    564.82x = 417,858.55
  5. Step 5: Solve for x
    x = 417,858.55/564.82
  6. Step 6: Final answer
    x = 739.81

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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.