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Finding the Fourth Proportional to 1,328.99, 1,834.80 and 857.03

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Solution

The fourth proportional to 1,328.99, 1,834.80 and 857.03 is: 1,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.99 : 1,834.80 = 857.03 : x
  2. Step 2: Convert to fraction form
    1,328.99/1,834.80 = 857.03/x
  3. Step 3: Cross multiply
    1,328.99x = 1,834.80 × 857.03
  4. Step 4: Simplify right side
    1,328.99x = 1,572,478.64
  5. Step 5: Solve for x
    x = 1,572,478.64/1,328.99
  6. Step 6: Final answer
    x = 1,183.21

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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.