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Finding the Fourth Proportional to 608.02, 838.80 and 477.40

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Solution

The fourth proportional to 608.02, 838.80 and 477.40 is: 658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.02 : 838.80 = 477.40 : x
  2. Step 2: Convert to fraction form
    608.02/838.80 = 477.40/x
  3. Step 3: Cross multiply
    608.02x = 838.80 × 477.40
  4. Step 4: Simplify right side
    608.02x = 400,443.12
  5. Step 5: Solve for x
    x = 400,443.12/608.02
  6. Step 6: Final answer
    x = 658.60

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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.