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Finding the Fourth Proportional to 986.58, 1,359.18 and 820.53

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Solution

The fourth proportional to 986.58, 1,359.18 and 820.53 is: 1,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.58 : 1,359.18 = 820.53 : x
  2. Step 2: Convert to fraction form
    986.58/1,359.18 = 820.53/x
  3. Step 3: Cross multiply
    986.58x = 1,359.18 × 820.53
  4. Step 4: Simplify right side
    986.58x = 1,115,247.97
  5. Step 5: Solve for x
    x = 1,115,247.97/986.58
  6. Step 6: Final answer
    x = 1,130.42

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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.