Home / 1,289.04-1,779.28-823.29

Finding the Fourth Proportional to 1,289.04, 1,779.28 and 823.29

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Solution

The fourth proportional to 1,289.04, 1,779.28 and 823.29 is: 1,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.04 : 1,779.28 = 823.29 : x
  2. Step 2: Convert to fraction form
    1,289.04/1,779.28 = 823.29/x
  3. Step 3: Cross multiply
    1,289.04x = 1,779.28 × 823.29
  4. Step 4: Simplify right side
    1,289.04x = 1,464,860.86
  5. Step 5: Solve for x
    x = 1,464,860.86/1,289.04
  6. Step 6: Final answer
    x = 1,136.40

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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.