Home / 1,453.03-2,004.70-823.50

Finding the Fourth Proportional to 1,453.03, 2,004.70 and 823.50

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Solution

The fourth proportional to 1,453.03, 2,004.70 and 823.50 is: 1,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.03 : 2,004.70 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,453.03/2,004.70 = 823.50/x
  3. Step 3: Cross multiply
    1,453.03x = 2,004.70 × 823.50
  4. Step 4: Simplify right side
    1,453.03x = 1,650,870.45
  5. Step 5: Solve for x
    x = 1,650,870.45/1,453.03
  6. Step 6: Final answer
    x = 1,136.16

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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.