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Finding the Fourth Proportional to 465.71, 643.01 and 334.76

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Solution

The fourth proportional to 465.71, 643.01 and 334.76 is: 462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 643.01 = 334.76 : x
  2. Step 2: Convert to fraction form
    465.71/643.01 = 334.76/x
  3. Step 3: Cross multiply
    465.71x = 643.01 × 334.76
  4. Step 4: Simplify right side
    465.71x = 215,249.14
  5. Step 5: Solve for x
    x = 215,249.14/465.71
  6. Step 6: Final answer
    x = 462.20

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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.