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Finding the Fourth Proportional to 607.29, 837.09 and 410.46

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Solution

The fourth proportional to 607.29, 837.09 and 410.46 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.29 : 837.09 = 410.46 : x
  2. Step 2: Convert to fraction form
    607.29/837.09 = 410.46/x
  3. Step 3: Cross multiply
    607.29x = 837.09 × 410.46
  4. Step 4: Simplify right side
    607.29x = 343,591.96
  5. Step 5: Solve for x
    x = 343,591.96/607.29
  6. Step 6: Final answer
    x = 565.78

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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.