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Finding the Fourth Proportional to 607.48, 837.90 and 408.40

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Solution

The fourth proportional to 607.48, 837.90 and 408.40 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.48 : 837.90 = 408.40 : x
  2. Step 2: Convert to fraction form
    607.48/837.90 = 408.40/x
  3. Step 3: Cross multiply
    607.48x = 837.90 × 408.40
  4. Step 4: Simplify right side
    607.48x = 342,198.36
  5. Step 5: Solve for x
    x = 342,198.36/607.48
  6. Step 6: Final answer
    x = 563.31

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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.