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Finding the Fourth Proportional to 867.96, 1,197.86 and 518.72

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Solution

The fourth proportional to 867.96, 1,197.86 and 518.72 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.96 : 1,197.86 = 518.72 : x
  2. Step 2: Convert to fraction form
    867.96/1,197.86 = 518.72/x
  3. Step 3: Cross multiply
    867.96x = 1,197.86 × 518.72
  4. Step 4: Simplify right side
    867.96x = 621,345.36
  5. Step 5: Solve for x
    x = 621,345.36/867.96
  6. Step 6: Final answer
    x = 715.87

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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.