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Finding the Fourth Proportional to 403.89, 608.51 and 347.37

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Solution

The fourth proportional to 403.89, 608.51 and 347.37 is: 523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.89 : 608.51 = 347.37 : x
  2. Step 2: Convert to fraction form
    403.89/608.51 = 347.37/x
  3. Step 3: Cross multiply
    403.89x = 608.51 × 347.37
  4. Step 4: Simplify right side
    403.89x = 211,376.38
  5. Step 5: Solve for x
    x = 211,376.38/403.89
  6. Step 6: Final answer
    x = 523.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.