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Finding the Fourth Proportional to 943.82, 1,303.70 and 725.46

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Solution

The fourth proportional to 943.82, 1,303.70 and 725.46 is: 1,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.82 : 1,303.70 = 725.46 : x
  2. Step 2: Convert to fraction form
    943.82/1,303.70 = 725.46/x
  3. Step 3: Cross multiply
    943.82x = 1,303.70 × 725.46
  4. Step 4: Simplify right side
    943.82x = 945,782.20
  5. Step 5: Solve for x
    x = 945,782.20/943.82
  6. Step 6: Final answer
    x = 1,002.08

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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.