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Finding the Fourth Proportional to 943.42, 1,303.17 and 786.57

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Solution

The fourth proportional to 943.42, 1,303.17 and 786.57 is: 1,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.42 : 1,303.17 = 786.57 : x
  2. Step 2: Convert to fraction form
    943.42/1,303.17 = 786.57/x
  3. Step 3: Cross multiply
    943.42x = 1,303.17 × 786.57
  4. Step 4: Simplify right side
    943.42x = 1,025,031.17
  5. Step 5: Solve for x
    x = 1,025,031.17/943.42
  6. Step 6: Final answer
    x = 1,086.50

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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.