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Finding the Fourth Proportional to 1,267.32, 1,899.59 and 856.34

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Solution

The fourth proportional to 1,267.32, 1,899.59 and 856.34 is: 1,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.32 : 1,899.59 = 856.34 : x
  2. Step 2: Convert to fraction form
    1,267.32/1,899.59 = 856.34/x
  3. Step 3: Cross multiply
    1,267.32x = 1,899.59 × 856.34
  4. Step 4: Simplify right side
    1,267.32x = 1,626,694.90
  5. Step 5: Solve for x
    x = 1,626,694.90/1,267.32
  6. Step 6: Final answer
    x = 1,283.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.