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Finding the Fourth Proportional to 1,078.90, 1,618.49 and 493.76

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Solution

The fourth proportional to 1,078.90, 1,618.49 and 493.76 is: 740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.90 : 1,618.49 = 493.76 : x
  2. Step 2: Convert to fraction form
    1,078.90/1,618.49 = 493.76/x
  3. Step 3: Cross multiply
    1,078.90x = 1,618.49 × 493.76
  4. Step 4: Simplify right side
    1,078.90x = 799,145.62
  5. Step 5: Solve for x
    x = 799,145.62/1,078.90
  6. Step 6: Final answer
    x = 740.71

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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.