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Finding the Fourth Proportional to 941.88, 1,405.97 and 864.84

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Solution

The fourth proportional to 941.88, 1,405.97 and 864.84 is: 1,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.88 : 1,405.97 = 864.84 : x
  2. Step 2: Convert to fraction form
    941.88/1,405.97 = 864.84/x
  3. Step 3: Cross multiply
    941.88x = 1,405.97 × 864.84
  4. Step 4: Simplify right side
    941.88x = 1,215,934.77
  5. Step 5: Solve for x
    x = 1,215,934.77/941.88
  6. Step 6: Final answer
    x = 1,290.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.