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Finding the Fourth Proportional to 433.41, 647.77 and 398.81

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Solution

The fourth proportional to 433.41, 647.77 and 398.81 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.41 : 647.77 = 398.81 : x
  2. Step 2: Convert to fraction form
    433.41/647.77 = 398.81/x
  3. Step 3: Cross multiply
    433.41x = 647.77 × 398.81
  4. Step 4: Simplify right side
    433.41x = 258,337.15
  5. Step 5: Solve for x
    x = 258,337.15/433.41
  6. Step 6: Final answer
    x = 596.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.