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Finding the Fourth Proportional to 431.25, 644.39 and 325.02

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Solution

The fourth proportional to 431.25, 644.39 and 325.02 is: 485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.25 : 644.39 = 325.02 : x
  2. Step 2: Convert to fraction form
    431.25/644.39 = 325.02/x
  3. Step 3: Cross multiply
    431.25x = 644.39 × 325.02
  4. Step 4: Simplify right side
    431.25x = 209,439.64
  5. Step 5: Solve for x
    x = 209,439.64/431.25
  6. Step 6: Final answer
    x = 485.66

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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.