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Finding the Fourth Proportional to 557.10, 768.82 and 370.66

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Solution

The fourth proportional to 557.10, 768.82 and 370.66 is: 511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 768.82 = 370.66 : x
  2. Step 2: Convert to fraction form
    557.10/768.82 = 370.66/x
  3. Step 3: Cross multiply
    557.10x = 768.82 × 370.66
  4. Step 4: Simplify right side
    557.10x = 284,970.82
  5. Step 5: Solve for x
    x = 284,970.82/557.10
  6. Step 6: Final answer
    x = 511.53

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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.