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Finding the Fourth Proportional to 823.96, 1,137.54 and 670.60

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Solution

The fourth proportional to 823.96, 1,137.54 and 670.60 is: 925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,137.54 = 670.60 : x
  2. Step 2: Convert to fraction form
    823.96/1,137.54 = 670.60/x
  3. Step 3: Cross multiply
    823.96x = 1,137.54 × 670.60
  4. Step 4: Simplify right side
    823.96x = 762,834.32
  5. Step 5: Solve for x
    x = 762,834.32/823.96
  6. Step 6: Final answer
    x = 925.81

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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.