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Finding the Fourth Proportional to 842.67, 1,264.44 and 613.45

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Solution

The fourth proportional to 842.67, 1,264.44 and 613.45 is: 920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.67 : 1,264.44 = 613.45 : x
  2. Step 2: Convert to fraction form
    842.67/1,264.44 = 613.45/x
  3. Step 3: Cross multiply
    842.67x = 1,264.44 × 613.45
  4. Step 4: Simplify right side
    842.67x = 775,670.72
  5. Step 5: Solve for x
    x = 775,670.72/842.67
  6. Step 6: Final answer
    x = 920.49

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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.