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Finding the Fourth Proportional to 429.42, 640.76 and 425.28

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Solution

The fourth proportional to 429.42, 640.76 and 425.28 is: 634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 640.76 = 425.28 : x
  2. Step 2: Convert to fraction form
    429.42/640.76 = 425.28/x
  3. Step 3: Cross multiply
    429.42x = 640.76 × 425.28
  4. Step 4: Simplify right side
    429.42x = 272,502.41
  5. Step 5: Solve for x
    x = 272,502.41/429.42
  6. Step 6: Final answer
    x = 634.58

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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.