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Finding the Fourth Proportional to 1,209.76, 1,670.16 and 796.96

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Solution

The fourth proportional to 1,209.76, 1,670.16 and 796.96 is: 1,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.76 : 1,670.16 = 796.96 : x
  2. Step 2: Convert to fraction form
    1,209.76/1,670.16 = 796.96/x
  3. Step 3: Cross multiply
    1,209.76x = 1,670.16 × 796.96
  4. Step 4: Simplify right side
    1,209.76x = 1,331,050.71
  5. Step 5: Solve for x
    x = 1,331,050.71/1,209.76
  6. Step 6: Final answer
    x = 1,100.26

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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.