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Finding the Fourth Proportional to 608.73, 839.48 and 410.01

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Solution

The fourth proportional to 608.73, 839.48 and 410.01 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.73 : 839.48 = 410.01 : x
  2. Step 2: Convert to fraction form
    608.73/839.48 = 410.01/x
  3. Step 3: Cross multiply
    608.73x = 839.48 × 410.01
  4. Step 4: Simplify right side
    608.73x = 344,193.14
  5. Step 5: Solve for x
    x = 344,193.14/608.73
  6. Step 6: Final answer
    x = 565.43

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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.