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Finding the Fourth Proportional to 465.71, 642.96 and 325.98

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Solution

The fourth proportional to 465.71, 642.96 and 325.98 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 642.96 = 325.98 : x
  2. Step 2: Convert to fraction form
    465.71/642.96 = 325.98/x
  3. Step 3: Cross multiply
    465.71x = 642.96 × 325.98
  4. Step 4: Simplify right side
    465.71x = 209,592.10
  5. Step 5: Solve for x
    x = 209,592.10/465.71
  6. Step 6: Final answer
    x = 450.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.