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Finding the Fourth Proportional to 557.62, 768.59 and 371.01

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Solution

The fourth proportional to 557.62, 768.59 and 371.01 is: 511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.62 : 768.59 = 371.01 : x
  2. Step 2: Convert to fraction form
    557.62/768.59 = 371.01/x
  3. Step 3: Cross multiply
    557.62x = 768.59 × 371.01
  4. Step 4: Simplify right side
    557.62x = 285,156.99
  5. Step 5: Solve for x
    x = 285,156.99/557.62
  6. Step 6: Final answer
    x = 511.38

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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.