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Finding the Fourth Proportional to 867.73, 1,198.02 and 536.35

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Solution

The fourth proportional to 867.73, 1,198.02 and 536.35 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.73 : 1,198.02 = 536.35 : x
  2. Step 2: Convert to fraction form
    867.73/1,198.02 = 536.35/x
  3. Step 3: Cross multiply
    867.73x = 1,198.02 × 536.35
  4. Step 4: Simplify right side
    867.73x = 642,559.37
  5. Step 5: Solve for x
    x = 642,559.37/867.73
  6. Step 6: Final answer
    x = 740.50

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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.