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Finding the Fourth Proportional to 967.94, 1,332.42 and 857.24

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Solution

The fourth proportional to 967.94, 1,332.42 and 857.24 is: 1,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.94 : 1,332.42 = 857.24 : x
  2. Step 2: Convert to fraction form
    967.94/1,332.42 = 857.24/x
  3. Step 3: Cross multiply
    967.94x = 1,332.42 × 857.24
  4. Step 4: Simplify right side
    967.94x = 1,142,203.72
  5. Step 5: Solve for x
    x = 1,142,203.72/967.94
  6. Step 6: Final answer
    x = 1,180.04

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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.