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Finding the Fourth Proportional to 1,319.69, 1,979.74 and 626.43

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Solution

The fourth proportional to 1,319.69, 1,979.74 and 626.43 is: 939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.69 : 1,979.74 = 626.43 : x
  2. Step 2: Convert to fraction form
    1,319.69/1,979.74 = 626.43/x
  3. Step 3: Cross multiply
    1,319.69x = 1,979.74 × 626.43
  4. Step 4: Simplify right side
    1,319.69x = 1,240,176.74
  5. Step 5: Solve for x
    x = 1,240,176.74/1,319.69
  6. Step 6: Final answer
    x = 939.75

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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.