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Finding the Fourth Proportional to 429.12, 640.16 and 414.48

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Solution

The fourth proportional to 429.12, 640.16 and 414.48 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 640.16 = 414.48 : x
  2. Step 2: Convert to fraction form
    429.12/640.16 = 414.48/x
  3. Step 3: Cross multiply
    429.12x = 640.16 × 414.48
  4. Step 4: Simplify right side
    429.12x = 265,333.52
  5. Step 5: Solve for x
    x = 265,333.52/429.12
  6. Step 6: Final answer
    x = 618.32

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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.