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Finding the Fourth Proportional to 425.60, 640.64 and 362.96

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Solution

The fourth proportional to 425.60, 640.64 and 362.96 is: 546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 640.64 = 362.96 : x
  2. Step 2: Convert to fraction form
    425.60/640.64 = 362.96/x
  3. Step 3: Cross multiply
    425.60x = 640.64 × 362.96
  4. Step 4: Simplify right side
    425.60x = 232,521.68
  5. Step 5: Solve for x
    x = 232,521.68/425.60
  6. Step 6: Final answer
    x = 546.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.