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Finding the Fourth Proportional to 670.78, 926.31 and 634.42

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Solution

The fourth proportional to 670.78, 926.31 and 634.42 is: 876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 926.31 = 634.42 : x
  2. Step 2: Convert to fraction form
    670.78/926.31 = 634.42/x
  3. Step 3: Cross multiply
    670.78x = 926.31 × 634.42
  4. Step 4: Simplify right side
    670.78x = 587,669.59
  5. Step 5: Solve for x
    x = 587,669.59/670.78
  6. Step 6: Final answer
    x = 876.10

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1.5x scale

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.