Home / 1,038.42-1,559.25-823.77

Finding the Fourth Proportional to 1,038.42, 1,559.25 and 823.77

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Solution

The fourth proportional to 1,038.42, 1,559.25 and 823.77 is: 1,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,559.25 = 823.77 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,559.25 = 823.77/x
  3. Step 3: Cross multiply
    1,038.42x = 1,559.25 × 823.77
  4. Step 4: Simplify right side
    1,038.42x = 1,284,463.37
  5. Step 5: Solve for x
    x = 1,284,463.37/1,038.42
  6. Step 6: Final answer
    x = 1,236.94

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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.