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Finding the Fourth Proportional to 856, 1,290.74 and 695.62

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Solution

The fourth proportional to 856, 1,290.74 and 695.62 is: 1,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,290.74 = 695.62 : x
  2. Step 2: Convert to fraction form
    856/1,290.74 = 695.62/x
  3. Step 3: Cross multiply
    856x = 1,290.74 × 695.62
  4. Step 4: Simplify right side
    856x = 897,864.56
  5. Step 5: Solve for x
    x = 897,864.56/856
  6. Step 6: Final answer
    x = 1,048.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.