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Finding the Fourth Proportional to 429.16, 647.47 and 381.64

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Solution

The fourth proportional to 429.16, 647.47 and 381.64 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 647.47 = 381.64 : x
  2. Step 2: Convert to fraction form
    429.16/647.47 = 381.64/x
  3. Step 3: Cross multiply
    429.16x = 647.47 × 381.64
  4. Step 4: Simplify right side
    429.16x = 247,100.45
  5. Step 5: Solve for x
    x = 247,100.45/429.16
  6. Step 6: Final answer
    x = 575.78

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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.