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Finding the Fourth Proportional to 557.50, 769.46 and 371.00

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Solution

The fourth proportional to 557.50, 769.46 and 371.00 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.50 : 769.46 = 371.00 : x
  2. Step 2: Convert to fraction form
    557.50/769.46 = 371.00/x
  3. Step 3: Cross multiply
    557.50x = 769.46 × 371.00
  4. Step 4: Simplify right side
    557.50x = 285,466.74
  5. Step 5: Solve for x
    x = 285,466.74/557.50
  6. Step 6: Final answer
    x = 512.05

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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.