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Finding the Fourth Proportional to 564.72, 779.24 and 378.54

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Solution

The fourth proportional to 564.72, 779.24 and 378.54 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 779.24 = 378.54 : x
  2. Step 2: Convert to fraction form
    564.72/779.24 = 378.54/x
  3. Step 3: Cross multiply
    564.72x = 779.24 × 378.54
  4. Step 4: Simplify right side
    564.72x = 294,973.51
  5. Step 5: Solve for x
    x = 294,973.51/564.72
  6. Step 6: Final answer
    x = 522.34

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Double scale
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Similar ratio
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1.5x scale

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.