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Finding the Fourth Proportional to 564.00, 779.32 and 469.33

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Solution

The fourth proportional to 564.00, 779.32 and 469.33 is: 648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.00 : 779.32 = 469.33 : x
  2. Step 2: Convert to fraction form
    564.00/779.32 = 469.33/x
  3. Step 3: Cross multiply
    564.00x = 779.32 × 469.33
  4. Step 4: Simplify right side
    564.00x = 365,756.89
  5. Step 5: Solve for x
    x = 365,756.89/564.00
  6. Step 6: Final answer
    x = 648.51

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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.