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Finding the Fourth Proportional to 1,103.79, 1,656.30 and 942.21

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Solution

The fourth proportional to 1,103.79, 1,656.30 and 942.21 is: 1,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.79 : 1,656.30 = 942.21 : x
  2. Step 2: Convert to fraction form
    1,103.79/1,656.30 = 942.21/x
  3. Step 3: Cross multiply
    1,103.79x = 1,656.30 × 942.21
  4. Step 4: Simplify right side
    1,103.79x = 1,560,582.42
  5. Step 5: Solve for x
    x = 1,560,582.42/1,103.79
  6. Step 6: Final answer
    x = 1,413.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.