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Finding the Fourth Proportional to 1,235.62, 1,703.38 and 842.14

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Solution

The fourth proportional to 1,235.62, 1,703.38 and 842.14 is: 1,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.62 : 1,703.38 = 842.14 : x
  2. Step 2: Convert to fraction form
    1,235.62/1,703.38 = 842.14/x
  3. Step 3: Cross multiply
    1,235.62x = 1,703.38 × 842.14
  4. Step 4: Simplify right side
    1,235.62x = 1,434,484.43
  5. Step 5: Solve for x
    x = 1,434,484.43/1,235.62
  6. Step 6: Final answer
    x = 1,160.94

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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.