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Finding the Fourth Proportional to 825.99, 1,139.63 and 511.10

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Solution

The fourth proportional to 825.99, 1,139.63 and 511.10 is: 705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.99 : 1,139.63 = 511.10 : x
  2. Step 2: Convert to fraction form
    825.99/1,139.63 = 511.10/x
  3. Step 3: Cross multiply
    825.99x = 1,139.63 × 511.10
  4. Step 4: Simplify right side
    825.99x = 582,464.89
  5. Step 5: Solve for x
    x = 582,464.89/825.99
  6. Step 6: Final answer
    x = 705.17

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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.