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Finding the Fourth Proportional to 557.74, 837.70 and 495.10

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Solution

The fourth proportional to 557.74, 837.70 and 495.10 is: 743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.74 : 837.70 = 495.10 : x
  2. Step 2: Convert to fraction form
    557.74/837.70 = 495.10/x
  3. Step 3: Cross multiply
    557.74x = 837.70 × 495.10
  4. Step 4: Simplify right side
    557.74x = 414,745.27
  5. Step 5: Solve for x
    x = 414,745.27/557.74
  6. Step 6: Final answer
    x = 743.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.