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Finding the Fourth Proportional to 1,605.70, 2,214.96 and 942.41

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Solution

The fourth proportional to 1,605.70, 2,214.96 and 942.41 is: 1,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.70 : 2,214.96 = 942.41 : x
  2. Step 2: Convert to fraction form
    1,605.70/2,214.96 = 942.41/x
  3. Step 3: Cross multiply
    1,605.70x = 2,214.96 × 942.41
  4. Step 4: Simplify right side
    1,605.70x = 2,087,400.45
  5. Step 5: Solve for x
    x = 2,087,400.45/1,605.70
  6. Step 6: Final answer
    x = 1,299.99

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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.