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Finding the Fourth Proportional to 465, 640.96 and 371.58

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Solution

The fourth proportional to 465, 640.96 and 371.58 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 640.96 = 371.58 : x
  2. Step 2: Convert to fraction form
    465/640.96 = 371.58/x
  3. Step 3: Cross multiply
    465x = 640.96 × 371.58
  4. Step 4: Simplify right side
    465x = 238,167.92
  5. Step 5: Solve for x
    x = 238,167.92/465
  6. Step 6: Final answer
    x = 512.19

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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.