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Finding the Fourth Proportional to 429.24, 639.24 and 410.52

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Solution

The fourth proportional to 429.24, 639.24 and 410.52 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 639.24 = 410.52 : x
  2. Step 2: Convert to fraction form
    429.24/639.24 = 410.52/x
  3. Step 3: Cross multiply
    429.24x = 639.24 × 410.52
  4. Step 4: Simplify right side
    429.24x = 262,420.80
  5. Step 5: Solve for x
    x = 262,420.80/429.24
  6. Step 6: Final answer
    x = 611.36

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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.