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Finding the Fourth Proportional to 575.31, 866.36 and 518.20

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Solution

The fourth proportional to 575.31, 866.36 and 518.20 is: 780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.31 : 866.36 = 518.20 : x
  2. Step 2: Convert to fraction form
    575.31/866.36 = 518.20/x
  3. Step 3: Cross multiply
    575.31x = 866.36 × 518.20
  4. Step 4: Simplify right side
    575.31x = 448,947.75
  5. Step 5: Solve for x
    x = 448,947.75/575.31
  6. Step 6: Final answer
    x = 780.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.