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Finding the Fourth Proportional to 857.42, 1,279.85 and 736.46

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Solution

The fourth proportional to 857.42, 1,279.85 and 736.46 is: 1,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.42 : 1,279.85 = 736.46 : x
  2. Step 2: Convert to fraction form
    857.42/1,279.85 = 736.46/x
  3. Step 3: Cross multiply
    857.42x = 1,279.85 × 736.46
  4. Step 4: Simplify right side
    857.42x = 942,551.01
  5. Step 5: Solve for x
    x = 942,551.01/857.42
  6. Step 6: Final answer
    x = 1,099.29

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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.