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Finding the Fourth Proportional to 938.34, 1,405.94 and 774.31

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Solution

The fourth proportional to 938.34, 1,405.94 and 774.31 is: 1,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,405.94 = 774.31 : x
  2. Step 2: Convert to fraction form
    938.34/1,405.94 = 774.31/x
  3. Step 3: Cross multiply
    938.34x = 1,405.94 × 774.31
  4. Step 4: Simplify right side
    938.34x = 1,088,633.40
  5. Step 5: Solve for x
    x = 1,088,633.40/938.34
  6. Step 6: Final answer
    x = 1,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.