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Finding the Fourth Proportional to 608.68, 840.38 and 409.67

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Solution

The fourth proportional to 608.68, 840.38 and 409.67 is: 565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.68 : 840.38 = 409.67 : x
  2. Step 2: Convert to fraction form
    608.68/840.38 = 409.67/x
  3. Step 3: Cross multiply
    608.68x = 840.38 × 409.67
  4. Step 4: Simplify right side
    608.68x = 344,278.47
  5. Step 5: Solve for x
    x = 344,278.47/608.68
  6. Step 6: Final answer
    x = 565.61

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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.