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Finding the Fourth Proportional to 1,297.58, 1,790.91 and 856.08

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Solution

The fourth proportional to 1,297.58, 1,790.91 and 856.08 is: 1,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.58 : 1,790.91 = 856.08 : x
  2. Step 2: Convert to fraction form
    1,297.58/1,790.91 = 856.08/x
  3. Step 3: Cross multiply
    1,297.58x = 1,790.91 × 856.08
  4. Step 4: Simplify right side
    1,297.58x = 1,533,162.23
  5. Step 5: Solve for x
    x = 1,533,162.23/1,297.58
  6. Step 6: Final answer
    x = 1,181.56

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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.