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Finding the Fourth Proportional to 1,144.99, 1,714.41 and 942.01

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Solution

The fourth proportional to 1,144.99, 1,714.41 and 942.01 is: 1,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.99 : 1,714.41 = 942.01 : x
  2. Step 2: Convert to fraction form
    1,144.99/1,714.41 = 942.01/x
  3. Step 3: Cross multiply
    1,144.99x = 1,714.41 × 942.01
  4. Step 4: Simplify right side
    1,144.99x = 1,614,982.37
  5. Step 5: Solve for x
    x = 1,614,982.37/1,144.99
  6. Step 6: Final answer
    x = 1,410.48

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1.5x scale

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.