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Finding the Fourth Proportional to 1,147.64, 1,583.50 and 682.04

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Solution

The fourth proportional to 1,147.64, 1,583.50 and 682.04 is: 941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.64 : 1,583.50 = 682.04 : x
  2. Step 2: Convert to fraction form
    1,147.64/1,583.50 = 682.04/x
  3. Step 3: Cross multiply
    1,147.64x = 1,583.50 × 682.04
  4. Step 4: Simplify right side
    1,147.64x = 1,080,010.34
  5. Step 5: Solve for x
    x = 1,080,010.34/1,147.64
  6. Step 6: Final answer
    x = 941.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.