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Finding the Fourth Proportional to 867.87, 1,197.63 and 494.91

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Solution

The fourth proportional to 867.87, 1,197.63 and 494.91 is: 682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.87 : 1,197.63 = 494.91 : x
  2. Step 2: Convert to fraction form
    867.87/1,197.63 = 494.91/x
  3. Step 3: Cross multiply
    867.87x = 1,197.63 × 494.91
  4. Step 4: Simplify right side
    867.87x = 592,719.06
  5. Step 5: Solve for x
    x = 592,719.06/867.87
  6. Step 6: Final answer
    x = 682.96

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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.