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Finding the Fourth Proportional to 1,044.60, 1,440.38 and 713.22

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Solution

The fourth proportional to 1,044.60, 1,440.38 and 713.22 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.60 : 1,440.38 = 713.22 : x
  2. Step 2: Convert to fraction form
    1,044.60/1,440.38 = 713.22/x
  3. Step 3: Cross multiply
    1,044.60x = 1,440.38 × 713.22
  4. Step 4: Simplify right side
    1,044.60x = 1,027,304.26
  5. Step 5: Solve for x
    x = 1,027,304.26/1,044.60
  6. Step 6: Final answer
    x = 983.44

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1.5x scale

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.