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Finding the Fourth Proportional to 825.54, 1,139.40 and 476.25

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Solution

The fourth proportional to 825.54, 1,139.40 and 476.25 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.54 : 1,139.40 = 476.25 : x
  2. Step 2: Convert to fraction form
    825.54/1,139.40 = 476.25/x
  3. Step 3: Cross multiply
    825.54x = 1,139.40 × 476.25
  4. Step 4: Simplify right side
    825.54x = 542,639.25
  5. Step 5: Solve for x
    x = 542,639.25/825.54
  6. Step 6: Final answer
    x = 657.31

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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.