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Finding the Fourth Proportional to 564.48, 779.77 and 537.14

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Solution

The fourth proportional to 564.48, 779.77 and 537.14 is: 742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 779.77 = 537.14 : x
  2. Step 2: Convert to fraction form
    564.48/779.77 = 537.14/x
  3. Step 3: Cross multiply
    564.48x = 779.77 × 537.14
  4. Step 4: Simplify right side
    564.48x = 418,848.28
  5. Step 5: Solve for x
    x = 418,848.28/564.48
  6. Step 6: Final answer
    x = 742.01

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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.