Home / 1,289.16-1,779.36-823.14

Finding the Fourth Proportional to 1,289.16, 1,779.36 and 823.14

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Solution

The fourth proportional to 1,289.16, 1,779.36 and 823.14 is: 1,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.16 : 1,779.36 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,289.16/1,779.36 = 823.14/x
  3. Step 3: Cross multiply
    1,289.16x = 1,779.36 × 823.14
  4. Step 4: Simplify right side
    1,289.16x = 1,464,662.39
  5. Step 5: Solve for x
    x = 1,464,662.39/1,289.16
  6. Step 6: Final answer
    x = 1,136.14

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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.