Home / 1,116.80-1,669.04-1,029.24

Finding the Fourth Proportional to 1,116.80, 1,669.04 and 1,029.24

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Solution

The fourth proportional to 1,116.80, 1,669.04 and 1,029.24 is: 1,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.80 : 1,669.04 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    1,116.80/1,669.04 = 1,029.24/x
  3. Step 3: Cross multiply
    1,116.80x = 1,669.04 × 1,029.24
  4. Step 4: Simplify right side
    1,116.80x = 1,717,842.73
  5. Step 5: Solve for x
    x = 1,717,842.73/1,116.80
  6. Step 6: Final answer
    x = 1,538.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.