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Finding the Fourth Proportional to 429.03, 642.90 and 383.46

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Solution

The fourth proportional to 429.03, 642.90 and 383.46 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.03 : 642.90 = 383.46 : x
  2. Step 2: Convert to fraction form
    429.03/642.90 = 383.46/x
  3. Step 3: Cross multiply
    429.03x = 642.90 × 383.46
  4. Step 4: Simplify right side
    429.03x = 246,526.43
  5. Step 5: Solve for x
    x = 246,526.43/429.03
  6. Step 6: Final answer
    x = 574.61

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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.