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Finding the Fourth Proportional to 1,405.14, 1,938.98 and 845.63

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Solution

The fourth proportional to 1,405.14, 1,938.98 and 845.63 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.14 : 1,938.98 = 845.63 : x
  2. Step 2: Convert to fraction form
    1,405.14/1,938.98 = 845.63/x
  3. Step 3: Cross multiply
    1,405.14x = 1,938.98 × 845.63
  4. Step 4: Simplify right side
    1,405.14x = 1,639,659.66
  5. Step 5: Solve for x
    x = 1,639,659.66/1,405.14
  6. Step 6: Final answer
    x = 1,166.90

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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.