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Finding the Fourth Proportional to 1,328.97, 1,834.83 and 857.10

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Solution

The fourth proportional to 1,328.97, 1,834.83 and 857.10 is: 1,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.97 : 1,834.83 = 857.10 : x
  2. Step 2: Convert to fraction form
    1,328.97/1,834.83 = 857.10/x
  3. Step 3: Cross multiply
    1,328.97x = 1,834.83 × 857.10
  4. Step 4: Simplify right side
    1,328.97x = 1,572,632.79
  5. Step 5: Solve for x
    x = 1,572,632.79/1,328.97
  6. Step 6: Final answer
    x = 1,183.35

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1.5x scale

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.