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Finding the Fourth Proportional to 867.36, 1,302.83 and 829.93

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Solution

The fourth proportional to 867.36, 1,302.83 and 829.93 is: 1,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.36 : 1,302.83 = 829.93 : x
  2. Step 2: Convert to fraction form
    867.36/1,302.83 = 829.93/x
  3. Step 3: Cross multiply
    867.36x = 1,302.83 × 829.93
  4. Step 4: Simplify right side
    867.36x = 1,081,253.55
  5. Step 5: Solve for x
    x = 1,081,253.55/867.36
  6. Step 6: Final answer
    x = 1,246.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.