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Finding the Fourth Proportional to 1,321.58, 1,981.77 and 499.28

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Solution

The fourth proportional to 1,321.58, 1,981.77 and 499.28 is: 748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.58 : 1,981.77 = 499.28 : x
  2. Step 2: Convert to fraction form
    1,321.58/1,981.77 = 499.28/x
  3. Step 3: Cross multiply
    1,321.58x = 1,981.77 × 499.28
  4. Step 4: Simplify right side
    1,321.58x = 989,458.13
  5. Step 5: Solve for x
    x = 989,458.13/1,321.58
  6. Step 6: Final answer
    x = 748.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.