Home / 1,116.31-1,670.98-998.93

Finding the Fourth Proportional to 1,116.31, 1,670.98 and 998.93

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Solution

The fourth proportional to 1,116.31, 1,670.98 and 998.93 is: 1,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.31 : 1,670.98 = 998.93 : x
  2. Step 2: Convert to fraction form
    1,116.31/1,670.98 = 998.93/x
  3. Step 3: Cross multiply
    1,116.31x = 1,670.98 × 998.93
  4. Step 4: Simplify right side
    1,116.31x = 1,669,195.60
  5. Step 5: Solve for x
    x = 1,669,195.60/1,116.31
  6. Step 6: Final answer
    x = 1,495.28

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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.