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Finding the Fourth Proportional to 942.84, 1,415.07 and 940.68

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Solution

The fourth proportional to 942.84, 1,415.07 and 940.68 is: 1,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,415.07 = 940.68 : x
  2. Step 2: Convert to fraction form
    942.84/1,415.07 = 940.68/x
  3. Step 3: Cross multiply
    942.84x = 1,415.07 × 940.68
  4. Step 4: Simplify right side
    942.84x = 1,331,128.05
  5. Step 5: Solve for x
    x = 1,331,128.05/942.84
  6. Step 6: Final answer
    x = 1,411.83

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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.