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Finding the Fourth Proportional to 986.52, 1,360.62 and 839.64

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Solution

The fourth proportional to 986.52, 1,360.62 and 839.64 is: 1,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.52 : 1,360.62 = 839.64 : x
  2. Step 2: Convert to fraction form
    986.52/1,360.62 = 839.64/x
  3. Step 3: Cross multiply
    986.52x = 1,360.62 × 839.64
  4. Step 4: Simplify right side
    986.52x = 1,142,430.98
  5. Step 5: Solve for x
    x = 1,142,430.98/986.52
  6. Step 6: Final answer
    x = 1,158.04

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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.