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Finding the Fourth Proportional to 859.06, 1,182.85 and 734.42

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Solution

The fourth proportional to 859.06, 1,182.85 and 734.42 is: 1,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.06 : 1,182.85 = 734.42 : x
  2. Step 2: Convert to fraction form
    859.06/1,182.85 = 734.42/x
  3. Step 3: Cross multiply
    859.06x = 1,182.85 × 734.42
  4. Step 4: Simplify right side
    859.06x = 868,707.30
  5. Step 5: Solve for x
    x = 868,707.30/859.06
  6. Step 6: Final answer
    x = 1,011.24

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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.