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Finding the Fourth Proportional to 429.66, 640.71 and 425.76

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Solution

The fourth proportional to 429.66, 640.71 and 425.76 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.66 : 640.71 = 425.76 : x
  2. Step 2: Convert to fraction form
    429.66/640.71 = 425.76/x
  3. Step 3: Cross multiply
    429.66x = 640.71 × 425.76
  4. Step 4: Simplify right side
    429.66x = 272,788.69
  5. Step 5: Solve for x
    x = 272,788.69/429.66
  6. Step 6: Final answer
    x = 634.89

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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.