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Finding the Fourth Proportional to 1,319.08, 1,978.02 and 496.78

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Solution

The fourth proportional to 1,319.08, 1,978.02 and 496.78 is: 744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.08 : 1,978.02 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,319.08/1,978.02 = 496.78/x
  3. Step 3: Cross multiply
    1,319.08x = 1,978.02 × 496.78
  4. Step 4: Simplify right side
    1,319.08x = 982,640.78
  5. Step 5: Solve for x
    x = 982,640.78/1,319.08
  6. Step 6: Final answer
    x = 744.94

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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.