Home / 1,057.14-1,587.34-942.66

Finding the Fourth Proportional to 1,057.14, 1,587.34 and 942.66

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Solution

The fourth proportional to 1,057.14, 1,587.34 and 942.66 is: 1,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.14 : 1,587.34 = 942.66 : x
  2. Step 2: Convert to fraction form
    1,057.14/1,587.34 = 942.66/x
  3. Step 3: Cross multiply
    1,057.14x = 1,587.34 × 942.66
  4. Step 4: Simplify right side
    1,057.14x = 1,496,321.92
  5. Step 5: Solve for x
    x = 1,496,321.92/1,057.14
  6. Step 6: Final answer
    x = 1,415.44

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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.