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Finding the Fourth Proportional to 429.68, 641.15 and 403.56

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Solution

The fourth proportional to 429.68, 641.15 and 403.56 is: 602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 641.15 = 403.56 : x
  2. Step 2: Convert to fraction form
    429.68/641.15 = 403.56/x
  3. Step 3: Cross multiply
    429.68x = 641.15 × 403.56
  4. Step 4: Simplify right side
    429.68x = 258,740.48
  5. Step 5: Solve for x
    x = 258,740.48/429.68
  6. Step 6: Final answer
    x = 602.18

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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.