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Finding the Fourth Proportional to 1,137.42, 1,703.99 and 673.83

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Solution

The fourth proportional to 1,137.42, 1,703.99 and 673.83 is: 1,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.42 : 1,703.99 = 673.83 : x
  2. Step 2: Convert to fraction form
    1,137.42/1,703.99 = 673.83/x
  3. Step 3: Cross multiply
    1,137.42x = 1,703.99 × 673.83
  4. Step 4: Simplify right side
    1,137.42x = 1,148,196.21
  5. Step 5: Solve for x
    x = 1,148,196.21/1,137.42
  6. Step 6: Final answer
    x = 1,009.47

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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.