Home / 1,554.72-2,331.72-823.92

Finding the Fourth Proportional to 1,554.72, 2,331.72 and 823.92

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Solution

The fourth proportional to 1,554.72, 2,331.72 and 823.92 is: 1,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.72 : 2,331.72 = 823.92 : x
  2. Step 2: Convert to fraction form
    1,554.72/2,331.72 = 823.92/x
  3. Step 3: Cross multiply
    1,554.72x = 2,331.72 × 823.92
  4. Step 4: Simplify right side
    1,554.72x = 1,921,150.74
  5. Step 5: Solve for x
    x = 1,921,150.74/1,554.72
  6. Step 6: Final answer
    x = 1,235.69

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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.