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Finding the Fourth Proportional to 521.64, 779.63 and 412.29

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Solution

The fourth proportional to 521.64, 779.63 and 412.29 is: 616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 779.63 = 412.29 : x
  2. Step 2: Convert to fraction form
    521.64/779.63 = 412.29/x
  3. Step 3: Cross multiply
    521.64x = 779.63 × 412.29
  4. Step 4: Simplify right side
    521.64x = 321,431.59
  5. Step 5: Solve for x
    x = 321,431.59/521.64
  6. Step 6: Final answer
    x = 616.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.