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Finding the Fourth Proportional to 1,398.54, 1,928.31 and 1,025.38

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Solution

The fourth proportional to 1,398.54, 1,928.31 and 1,025.38 is: 1,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.54 : 1,928.31 = 1,025.38 : x
  2. Step 2: Convert to fraction form
    1,398.54/1,928.31 = 1,025.38/x
  3. Step 3: Cross multiply
    1,398.54x = 1,928.31 × 1,025.38
  4. Step 4: Simplify right side
    1,398.54x = 1,977,250.51
  5. Step 5: Solve for x
    x = 1,977,250.51/1,398.54
  6. Step 6: Final answer
    x = 1,413.80

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1.5x scale

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.