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Finding the Fourth Proportional to 557.31, 768.84 and 368.46

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Solution

The fourth proportional to 557.31, 768.84 and 368.46 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 768.84 = 368.46 : x
  2. Step 2: Convert to fraction form
    557.31/768.84 = 368.46/x
  3. Step 3: Cross multiply
    557.31x = 768.84 × 368.46
  4. Step 4: Simplify right side
    557.31x = 283,286.79
  5. Step 5: Solve for x
    x = 283,286.79/557.31
  6. Step 6: Final answer
    x = 508.31

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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.