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Finding the Fourth Proportional to 985.08, 1,360.20 and 736.84

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Solution

The fourth proportional to 985.08, 1,360.20 and 736.84 is: 1,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.08 : 1,360.20 = 736.84 : x
  2. Step 2: Convert to fraction form
    985.08/1,360.20 = 736.84/x
  3. Step 3: Cross multiply
    985.08x = 1,360.20 × 736.84
  4. Step 4: Simplify right side
    985.08x = 1,002,249.77
  5. Step 5: Solve for x
    x = 1,002,249.77/985.08
  6. Step 6: Final answer
    x = 1,017.43

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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.