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Finding the Fourth Proportional to 670.66, 925.47 and 371.88

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Solution

The fourth proportional to 670.66, 925.47 and 371.88 is: 513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.66 : 925.47 = 371.88 : x
  2. Step 2: Convert to fraction form
    670.66/925.47 = 371.88/x
  3. Step 3: Cross multiply
    670.66x = 925.47 × 371.88
  4. Step 4: Simplify right side
    670.66x = 344,163.78
  5. Step 5: Solve for x
    x = 344,163.78/670.66
  6. Step 6: Final answer
    x = 513.17

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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.