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Finding the Fourth Proportional to 564.76, 779.22 and 331.78

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Solution

The fourth proportional to 564.76, 779.22 and 331.78 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 779.22 = 331.78 : x
  2. Step 2: Convert to fraction form
    564.76/779.22 = 331.78/x
  3. Step 3: Cross multiply
    564.76x = 779.22 × 331.78
  4. Step 4: Simplify right side
    564.76x = 258,529.61
  5. Step 5: Solve for x
    x = 258,529.61/564.76
  6. Step 6: Final answer
    x = 457.77

Related Problems

Find fourth proportional to 282.38, 389.61 and 165.89
Half scale
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Double scale
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Similar ratio
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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.