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Finding the Fourth Proportional to 1,320.31, 1,980.94 and 618.14

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Solution

The fourth proportional to 1,320.31, 1,980.94 and 618.14 is: 927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.31 : 1,980.94 = 618.14 : x
  2. Step 2: Convert to fraction form
    1,320.31/1,980.94 = 618.14/x
  3. Step 3: Cross multiply
    1,320.31x = 1,980.94 × 618.14
  4. Step 4: Simplify right side
    1,320.31x = 1,224,485.26
  5. Step 5: Solve for x
    x = 1,224,485.26/1,320.31
  6. Step 6: Final answer
    x = 927.43

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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.