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Finding the Fourth Proportional to 1,328.65, 1,834.35 and 856.71

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Solution

The fourth proportional to 1,328.65, 1,834.35 and 856.71 is: 1,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.65 : 1,834.35 = 856.71 : x
  2. Step 2: Convert to fraction form
    1,328.65/1,834.35 = 856.71/x
  3. Step 3: Cross multiply
    1,328.65x = 1,834.35 × 856.71
  4. Step 4: Simplify right side
    1,328.65x = 1,571,501.40
  5. Step 5: Solve for x
    x = 1,571,501.40/1,328.65
  6. Step 6: Final answer
    x = 1,182.79

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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.