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Finding the Fourth Proportional to 1,873.18, 2,809.76 and 486.60

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Solution

The fourth proportional to 1,873.18, 2,809.76 and 486.60 is: 729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.18 : 2,809.76 = 486.60 : x
  2. Step 2: Convert to fraction form
    1,873.18/2,809.76 = 486.60/x
  3. Step 3: Cross multiply
    1,873.18x = 2,809.76 × 486.60
  4. Step 4: Simplify right side
    1,873.18x = 1,367,229.22
  5. Step 5: Solve for x
    x = 1,367,229.22/1,873.18
  6. Step 6: Final answer
    x = 729.90

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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.