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Finding the Fourth Proportional to 1,267.65, 1,901.17 and 856.68

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Solution

The fourth proportional to 1,267.65, 1,901.17 and 856.68 is: 1,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.65 : 1,901.17 = 856.68 : x
  2. Step 2: Convert to fraction form
    1,267.65/1,901.17 = 856.68/x
  3. Step 3: Cross multiply
    1,267.65x = 1,901.17 × 856.68
  4. Step 4: Simplify right side
    1,267.65x = 1,628,688.26
  5. Step 5: Solve for x
    x = 1,628,688.26/1,267.65
  6. Step 6: Final answer
    x = 1,284.81

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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.