Home / 1,453.04-2,005.13-823.59

Finding the Fourth Proportional to 1,453.04, 2,005.13 and 823.59

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Solution

The fourth proportional to 1,453.04, 2,005.13 and 823.59 is: 1,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.04 : 2,005.13 = 823.59 : x
  2. Step 2: Convert to fraction form
    1,453.04/2,005.13 = 823.59/x
  3. Step 3: Cross multiply
    1,453.04x = 2,005.13 × 823.59
  4. Step 4: Simplify right side
    1,453.04x = 1,651,400.90
  5. Step 5: Solve for x
    x = 1,651,400.90/1,453.04
  6. Step 6: Final answer
    x = 1,136.52

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1.5x scale

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.