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Finding the Fourth Proportional to 1,444.40, 1,993.76 and 847.12

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Solution

The fourth proportional to 1,444.40, 1,993.76 and 847.12 is: 1,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.40 : 1,993.76 = 847.12 : x
  2. Step 2: Convert to fraction form
    1,444.40/1,993.76 = 847.12/x
  3. Step 3: Cross multiply
    1,444.40x = 1,993.76 × 847.12
  4. Step 4: Simplify right side
    1,444.40x = 1,688,953.97
  5. Step 5: Solve for x
    x = 1,688,953.97/1,444.40
  6. Step 6: Final answer
    x = 1,169.31

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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.