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Finding the Fourth Proportional to 1,142.77, 1,714.14 and 900.88

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Solution

The fourth proportional to 1,142.77, 1,714.14 and 900.88 is: 1,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.77 : 1,714.14 = 900.88 : x
  2. Step 2: Convert to fraction form
    1,142.77/1,714.14 = 900.88/x
  3. Step 3: Cross multiply
    1,142.77x = 1,714.14 × 900.88
  4. Step 4: Simplify right side
    1,142.77x = 1,544,234.44
  5. Step 5: Solve for x
    x = 1,544,234.44/1,142.77
  6. Step 6: Final answer
    x = 1,351.31

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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.