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Finding the Fourth Proportional to 608.16, 838.50 and 411.33

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Solution

The fourth proportional to 608.16, 838.50 and 411.33 is: 567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 838.50 = 411.33 : x
  2. Step 2: Convert to fraction form
    608.16/838.50 = 411.33/x
  3. Step 3: Cross multiply
    608.16x = 838.50 × 411.33
  4. Step 4: Simplify right side
    608.16x = 344,899.40
  5. Step 5: Solve for x
    x = 344,899.40/608.16
  6. Step 6: Final answer
    x = 567.12

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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.