Home / 1,029.06-1,410.84-1,010.62

Finding the Fourth Proportional to 1,029.06, 1,410.84 and 1,010.62

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Solution

The fourth proportional to 1,029.06, 1,410.84 and 1,010.62 is: 1,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.06 : 1,410.84 = 1,010.62 : x
  2. Step 2: Convert to fraction form
    1,029.06/1,410.84 = 1,010.62/x
  3. Step 3: Cross multiply
    1,029.06x = 1,410.84 × 1,010.62
  4. Step 4: Simplify right side
    1,029.06x = 1,425,823.12
  5. Step 5: Solve for x
    x = 1,425,823.12/1,029.06
  6. Step 6: Final answer
    x = 1,385.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.