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Finding the Fourth Proportional to 1,108.54, 1,654.37 and 985.52

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Solution

The fourth proportional to 1,108.54, 1,654.37 and 985.52 is: 1,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.54 : 1,654.37 = 985.52 : x
  2. Step 2: Convert to fraction form
    1,108.54/1,654.37 = 985.52/x
  3. Step 3: Cross multiply
    1,108.54x = 1,654.37 × 985.52
  4. Step 4: Simplify right side
    1,108.54x = 1,630,413.86
  5. Step 5: Solve for x
    x = 1,630,413.86/1,108.54
  6. Step 6: Final answer
    x = 1,470.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.