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Finding the Fourth Proportional to 847.46, 1,169.62 and 498.14

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Solution

The fourth proportional to 847.46, 1,169.62 and 498.14 is: 687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.46 : 1,169.62 = 498.14 : x
  2. Step 2: Convert to fraction form
    847.46/1,169.62 = 498.14/x
  3. Step 3: Cross multiply
    847.46x = 1,169.62 × 498.14
  4. Step 4: Simplify right side
    847.46x = 582,634.51
  5. Step 5: Solve for x
    x = 582,634.51/847.46
  6. Step 6: Final answer
    x = 687.51

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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.