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Finding the Fourth Proportional to 1,346.44, 1,857.18 and 821.56

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Solution

The fourth proportional to 1,346.44, 1,857.18 and 821.56 is: 1,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.44 : 1,857.18 = 821.56 : x
  2. Step 2: Convert to fraction form
    1,346.44/1,857.18 = 821.56/x
  3. Step 3: Cross multiply
    1,346.44x = 1,857.18 × 821.56
  4. Step 4: Simplify right side
    1,346.44x = 1,525,784.80
  5. Step 5: Solve for x
    x = 1,525,784.80/1,346.44
  6. Step 6: Final answer
    x = 1,133.20

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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.