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Finding the Fourth Proportional to 429.07, 647.17 and 378.36

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Solution

The fourth proportional to 429.07, 647.17 and 378.36 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.07 : 647.17 = 378.36 : x
  2. Step 2: Convert to fraction form
    429.07/647.17 = 378.36/x
  3. Step 3: Cross multiply
    429.07x = 647.17 × 378.36
  4. Step 4: Simplify right side
    429.07x = 244,863.24
  5. Step 5: Solve for x
    x = 244,863.24/429.07
  6. Step 6: Final answer
    x = 570.68

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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.