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Finding the Fourth Proportional to 564.64, 779.15 and 440.40

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Solution

The fourth proportional to 564.64, 779.15 and 440.40 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 779.15 = 440.40 : x
  2. Step 2: Convert to fraction form
    564.64/779.15 = 440.40/x
  3. Step 3: Cross multiply
    564.64x = 779.15 × 440.40
  4. Step 4: Simplify right side
    564.64x = 343,141.68
  5. Step 5: Solve for x
    x = 343,141.68/564.64
  6. Step 6: Final answer
    x = 607.72

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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.