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Finding the Fourth Proportional to 1,143.44, 1,714.83 and 412.88

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Solution

The fourth proportional to 1,143.44, 1,714.83 and 412.88 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.44 : 1,714.83 = 412.88 : x
  2. Step 2: Convert to fraction form
    1,143.44/1,714.83 = 412.88/x
  3. Step 3: Cross multiply
    1,143.44x = 1,714.83 × 412.88
  4. Step 4: Simplify right side
    1,143.44x = 708,019.01
  5. Step 5: Solve for x
    x = 708,019.01/1,143.44
  6. Step 6: Final answer
    x = 619.20

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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.