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Finding the Fourth Proportional to 1,357.90, 1,872.99 and 834.23

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Solution

The fourth proportional to 1,357.90, 1,872.99 and 834.23 is: 1,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.90 : 1,872.99 = 834.23 : x
  2. Step 2: Convert to fraction form
    1,357.90/1,872.99 = 834.23/x
  3. Step 3: Cross multiply
    1,357.90x = 1,872.99 × 834.23
  4. Step 4: Simplify right side
    1,357.90x = 1,562,509.13
  5. Step 5: Solve for x
    x = 1,562,509.13/1,357.90
  6. Step 6: Final answer
    x = 1,150.68

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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.