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Finding the Fourth Proportional to 1,346.56, 1,858.36 and 822.56

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Solution

The fourth proportional to 1,346.56, 1,858.36 and 822.56 is: 1,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.56 : 1,858.36 = 822.56 : x
  2. Step 2: Convert to fraction form
    1,346.56/1,858.36 = 822.56/x
  3. Step 3: Cross multiply
    1,346.56x = 1,858.36 × 822.56
  4. Step 4: Simplify right side
    1,346.56x = 1,528,612.60
  5. Step 5: Solve for x
    x = 1,528,612.60/1,346.56
  6. Step 6: Final answer
    x = 1,135.20

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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.