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Finding the Fourth Proportional to 670.83, 1,006.94 and 378.60

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Solution

The fourth proportional to 670.83, 1,006.94 and 378.60 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 1,006.94 = 378.60 : x
  2. Step 2: Convert to fraction form
    670.83/1,006.94 = 378.60/x
  3. Step 3: Cross multiply
    670.83x = 1,006.94 × 378.60
  4. Step 4: Simplify right side
    670.83x = 381,227.48
  5. Step 5: Solve for x
    x = 381,227.48/670.83
  6. Step 6: Final answer
    x = 568.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.