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Finding the Fourth Proportional to 403.84, 609.28 and 383.59

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Solution

The fourth proportional to 403.84, 609.28 and 383.59 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.84 : 609.28 = 383.59 : x
  2. Step 2: Convert to fraction form
    403.84/609.28 = 383.59/x
  3. Step 3: Cross multiply
    403.84x = 609.28 × 383.59
  4. Step 4: Simplify right side
    403.84x = 233,713.72
  5. Step 5: Solve for x
    x = 233,713.72/403.84
  6. Step 6: Final answer
    x = 578.73

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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.