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Finding the Fourth Proportional to 1,379.93, 1,904.76 and 856.26

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Solution

The fourth proportional to 1,379.93, 1,904.76 and 856.26 is: 1,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.93 : 1,904.76 = 856.26 : x
  2. Step 2: Convert to fraction form
    1,379.93/1,904.76 = 856.26/x
  3. Step 3: Cross multiply
    1,379.93x = 1,904.76 × 856.26
  4. Step 4: Simplify right side
    1,379.93x = 1,630,969.80
  5. Step 5: Solve for x
    x = 1,630,969.80/1,379.93
  6. Step 6: Final answer
    x = 1,181.93

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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.