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Finding the Fourth Proportional to 429.54, 646.90 and 361.50

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Solution

The fourth proportional to 429.54, 646.90 and 361.50 is: 544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 646.90 = 361.50 : x
  2. Step 2: Convert to fraction form
    429.54/646.90 = 361.50/x
  3. Step 3: Cross multiply
    429.54x = 646.90 × 361.50
  4. Step 4: Simplify right side
    429.54x = 233,854.35
  5. Step 5: Solve for x
    x = 233,854.35/429.54
  6. Step 6: Final answer
    x = 544.43

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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.