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Finding the Fourth Proportional to 1,210.73, 1,669.54 and 856.49

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Solution

The fourth proportional to 1,210.73, 1,669.54 and 856.49 is: 1,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.73 : 1,669.54 = 856.49 : x
  2. Step 2: Convert to fraction form
    1,210.73/1,669.54 = 856.49/x
  3. Step 3: Cross multiply
    1,210.73x = 1,669.54 × 856.49
  4. Step 4: Simplify right side
    1,210.73x = 1,429,944.31
  5. Step 5: Solve for x
    x = 1,429,944.31/1,210.73
  6. Step 6: Final answer
    x = 1,181.06

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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.