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Finding the Fourth Proportional to 1,119.99, 1,545.15 and 825.96

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Solution

The fourth proportional to 1,119.99, 1,545.15 and 825.96 is: 1,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.99 : 1,545.15 = 825.96 : x
  2. Step 2: Convert to fraction form
    1,119.99/1,545.15 = 825.96/x
  3. Step 3: Cross multiply
    1,119.99x = 1,545.15 × 825.96
  4. Step 4: Simplify right side
    1,119.99x = 1,276,232.09
  5. Step 5: Solve for x
    x = 1,276,232.09/1,119.99
  6. Step 6: Final answer
    x = 1,139.50

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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.