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Finding the Fourth Proportional to 1,235.42, 1,701.78 and 1,110.88

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Solution

The fourth proportional to 1,235.42, 1,701.78 and 1,110.88 is: 1,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.42 : 1,701.78 = 1,110.88 : x
  2. Step 2: Convert to fraction form
    1,235.42/1,701.78 = 1,110.88/x
  3. Step 3: Cross multiply
    1,235.42x = 1,701.78 × 1,110.88
  4. Step 4: Simplify right side
    1,235.42x = 1,890,471.33
  5. Step 5: Solve for x
    x = 1,890,471.33/1,235.42
  6. Step 6: Final answer
    x = 1,530.23

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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.