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Finding the Fourth Proportional to 429.08, 642.59 and 407.55

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Solution

The fourth proportional to 429.08, 642.59 and 407.55 is: 610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.08 : 642.59 = 407.55 : x
  2. Step 2: Convert to fraction form
    429.08/642.59 = 407.55/x
  3. Step 3: Cross multiply
    429.08x = 642.59 × 407.55
  4. Step 4: Simplify right side
    429.08x = 261,885.84
  5. Step 5: Solve for x
    x = 261,885.84/429.08
  6. Step 6: Final answer
    x = 610.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.