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Finding the Fourth Proportional to 986, 1,360.50 and 593.12

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Solution

The fourth proportional to 986, 1,360.50 and 593.12 is: 818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 1,360.50 = 593.12 : x
  2. Step 2: Convert to fraction form
    986/1,360.50 = 593.12/x
  3. Step 3: Cross multiply
    986x = 1,360.50 × 593.12
  4. Step 4: Simplify right side
    986x = 806,939.76
  5. Step 5: Solve for x
    x = 806,939.76/986
  6. Step 6: Final answer
    x = 818.40

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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.