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Finding the Fourth Proportional to 608.57, 838.89 and 477.35

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Solution

The fourth proportional to 608.57, 838.89 and 477.35 is: 658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.57 : 838.89 = 477.35 : x
  2. Step 2: Convert to fraction form
    608.57/838.89 = 477.35/x
  3. Step 3: Cross multiply
    608.57x = 838.89 × 477.35
  4. Step 4: Simplify right side
    608.57x = 400,439.95
  5. Step 5: Solve for x
    x = 400,439.95/608.57
  6. Step 6: Final answer
    x = 658.01

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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.