Home / 1,440.03-2,159.97-823.35

Finding the Fourth Proportional to 1,440.03, 2,159.97 and 823.35

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Solution

The fourth proportional to 1,440.03, 2,159.97 and 823.35 is: 1,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.03 : 2,159.97 = 823.35 : x
  2. Step 2: Convert to fraction form
    1,440.03/2,159.97 = 823.35/x
  3. Step 3: Cross multiply
    1,440.03x = 2,159.97 × 823.35
  4. Step 4: Simplify right side
    1,440.03x = 1,778,408.79
  5. Step 5: Solve for x
    x = 1,778,408.79/1,440.03
  6. Step 6: Final answer
    x = 1,234.98

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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.