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Finding the Fourth Proportional to 943.19, 1,405.37 and 901.28

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Solution

The fourth proportional to 943.19, 1,405.37 and 901.28 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.19 : 1,405.37 = 901.28 : x
  2. Step 2: Convert to fraction form
    943.19/1,405.37 = 901.28/x
  3. Step 3: Cross multiply
    943.19x = 1,405.37 × 901.28
  4. Step 4: Simplify right side
    943.19x = 1,266,620.34
  5. Step 5: Solve for x
    x = 1,266,620.34/943.19
  6. Step 6: Final answer
    x = 1,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.