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Finding the Fourth Proportional to 564.82, 779.14 and 465.02

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Solution

The fourth proportional to 564.82, 779.14 and 465.02 is: 641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 779.14 = 465.02 : x
  2. Step 2: Convert to fraction form
    564.82/779.14 = 465.02/x
  3. Step 3: Cross multiply
    564.82x = 779.14 × 465.02
  4. Step 4: Simplify right side
    564.82x = 362,315.68
  5. Step 5: Solve for x
    x = 362,315.68/564.82
  6. Step 6: Final answer
    x = 641.47

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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.