Home / 1,064.24-1,470.66-1,027.82

Finding the Fourth Proportional to 1,064.24, 1,470.66 and 1,027.82

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Solution

The fourth proportional to 1,064.24, 1,470.66 and 1,027.82 is: 1,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.24 : 1,470.66 = 1,027.82 : x
  2. Step 2: Convert to fraction form
    1,064.24/1,470.66 = 1,027.82/x
  3. Step 3: Cross multiply
    1,064.24x = 1,470.66 × 1,027.82
  4. Step 4: Simplify right side
    1,064.24x = 1,511,573.76
  5. Step 5: Solve for x
    x = 1,511,573.76/1,064.24
  6. Step 6: Final answer
    x = 1,420.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.