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Finding the Fourth Proportional to 670.90, 925.78 and 376.11

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Solution

The fourth proportional to 670.90, 925.78 and 376.11 is: 519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.90 : 925.78 = 376.11 : x
  2. Step 2: Convert to fraction form
    670.90/925.78 = 376.11/x
  3. Step 3: Cross multiply
    670.90x = 925.78 × 376.11
  4. Step 4: Simplify right side
    670.90x = 348,194.88
  5. Step 5: Solve for x
    x = 348,194.88/670.90
  6. Step 6: Final answer
    x = 519.00

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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.