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Finding the Fourth Proportional to 608.40, 838.62 and 477.18

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Solution

The fourth proportional to 608.40, 838.62 and 477.18 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 838.62 = 477.18 : x
  2. Step 2: Convert to fraction form
    608.40/838.62 = 477.18/x
  3. Step 3: Cross multiply
    608.40x = 838.62 × 477.18
  4. Step 4: Simplify right side
    608.40x = 400,172.69
  5. Step 5: Solve for x
    x = 400,172.69/608.40
  6. Step 6: Final answer
    x = 657.75

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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.