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Finding the Fourth Proportional to 1,314.44, 1,970.82 and 620.13

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Solution

The fourth proportional to 1,314.44, 1,970.82 and 620.13 is: 929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.44 : 1,970.82 = 620.13 : x
  2. Step 2: Convert to fraction form
    1,314.44/1,970.82 = 620.13/x
  3. Step 3: Cross multiply
    1,314.44x = 1,970.82 × 620.13
  4. Step 4: Simplify right side
    1,314.44x = 1,222,164.61
  5. Step 5: Solve for x
    x = 1,222,164.61/1,314.44
  6. Step 6: Final answer
    x = 929.80

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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.