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Finding the Fourth Proportional to 534.31, 798.16 and 386.89

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Solution

The fourth proportional to 534.31, 798.16 and 386.89 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.31 : 798.16 = 386.89 : x
  2. Step 2: Convert to fraction form
    534.31/798.16 = 386.89/x
  3. Step 3: Cross multiply
    534.31x = 798.16 × 386.89
  4. Step 4: Simplify right side
    534.31x = 308,797.16
  5. Step 5: Solve for x
    x = 308,797.16/534.31
  6. Step 6: Final answer
    x = 577.94

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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.