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Finding the Fourth Proportional to 557.31, 768.73 and 360.48

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Solution

The fourth proportional to 557.31, 768.73 and 360.48 is: 497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 768.73 = 360.48 : x
  2. Step 2: Convert to fraction form
    557.31/768.73 = 360.48/x
  3. Step 3: Cross multiply
    557.31x = 768.73 × 360.48
  4. Step 4: Simplify right side
    557.31x = 277,111.79
  5. Step 5: Solve for x
    x = 277,111.79/557.31
  6. Step 6: Final answer
    x = 497.23

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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.