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Finding the Fourth Proportional to 1,193.78, 1,782.62 and 974.83

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Solution

The fourth proportional to 1,193.78, 1,782.62 and 974.83 is: 1,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.78 : 1,782.62 = 974.83 : x
  2. Step 2: Convert to fraction form
    1,193.78/1,782.62 = 974.83/x
  3. Step 3: Cross multiply
    1,193.78x = 1,782.62 × 974.83
  4. Step 4: Simplify right side
    1,193.78x = 1,737,752.88
  5. Step 5: Solve for x
    x = 1,737,752.88/1,193.78
  6. Step 6: Final answer
    x = 1,455.68

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1.5x scale

Why These Related Problems?

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