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Finding the Fourth Proportional to 864.16, 1,192.92 and 668.32

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Solution

The fourth proportional to 864.16, 1,192.92 and 668.32 is: 922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,192.92 = 668.32 : x
  2. Step 2: Convert to fraction form
    864.16/1,192.92 = 668.32/x
  3. Step 3: Cross multiply
    864.16x = 1,192.92 × 668.32
  4. Step 4: Simplify right side
    864.16x = 797,252.29
  5. Step 5: Solve for x
    x = 797,252.29/864.16
  6. Step 6: Final answer
    x = 922.57

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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.