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Finding the Fourth Proportional to 825.94, 1,139.93 and 476.83

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Solution

The fourth proportional to 825.94, 1,139.93 and 476.83 is: 658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.94 : 1,139.93 = 476.83 : x
  2. Step 2: Convert to fraction form
    825.94/1,139.93 = 476.83/x
  3. Step 3: Cross multiply
    825.94x = 1,139.93 × 476.83
  4. Step 4: Simplify right side
    825.94x = 543,551.16
  5. Step 5: Solve for x
    x = 543,551.16/825.94
  6. Step 6: Final answer
    x = 658.10

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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.