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Finding the Fourth Proportional to 642.08, 964.20 and 425.54

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Solution

The fourth proportional to 642.08, 964.20 and 425.54 is: 639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.08 : 964.20 = 425.54 : x
  2. Step 2: Convert to fraction form
    642.08/964.20 = 425.54/x
  3. Step 3: Cross multiply
    642.08x = 964.20 × 425.54
  4. Step 4: Simplify right side
    642.08x = 410,305.67
  5. Step 5: Solve for x
    x = 410,305.67/642.08
  6. Step 6: Final answer
    x = 639.03

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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.