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Finding the Fourth Proportional to 867.83, 1,197.57 and 494.86

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Solution

The fourth proportional to 867.83, 1,197.57 and 494.86 is: 682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.83 : 1,197.57 = 494.86 : x
  2. Step 2: Convert to fraction form
    867.83/1,197.57 = 494.86/x
  3. Step 3: Cross multiply
    867.83x = 1,197.57 × 494.86
  4. Step 4: Simplify right side
    867.83x = 592,629.49
  5. Step 5: Solve for x
    x = 592,629.49/867.83
  6. Step 6: Final answer
    x = 682.89

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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.