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Finding the Fourth Proportional to 642.36, 964.01 and 496.48

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Solution

The fourth proportional to 642.36, 964.01 and 496.48 is: 745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.36 : 964.01 = 496.48 : x
  2. Step 2: Convert to fraction form
    642.36/964.01 = 496.48/x
  3. Step 3: Cross multiply
    642.36x = 964.01 × 496.48
  4. Step 4: Simplify right side
    642.36x = 478,611.68
  5. Step 5: Solve for x
    x = 478,611.68/642.36
  6. Step 6: Final answer
    x = 745.08

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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.