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Finding the Fourth Proportional to 1,321.24, 1,980.54 and 455.08

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Solution

The fourth proportional to 1,321.24, 1,980.54 and 455.08 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.24 : 1,980.54 = 455.08 : x
  2. Step 2: Convert to fraction form
    1,321.24/1,980.54 = 455.08/x
  3. Step 3: Cross multiply
    1,321.24x = 1,980.54 × 455.08
  4. Step 4: Simplify right side
    1,321.24x = 901,304.14
  5. Step 5: Solve for x
    x = 901,304.14/1,321.24
  6. Step 6: Final answer
    x = 682.17

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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.