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Finding the Fourth Proportional to 943.71, 1,301.28 and 645

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Solution

The fourth proportional to 943.71, 1,301.28 and 645 is: 889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.71 : 1,301.28 = 645 : x
  2. Step 2: Convert to fraction form
    943.71/1,301.28 = 645/x
  3. Step 3: Cross multiply
    943.71x = 1,301.28 × 645
  4. Step 4: Simplify right side
    943.71x = 839,325.60
  5. Step 5: Solve for x
    x = 839,325.60/943.71
  6. Step 6: Final answer
    x = 889.39

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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.