Home / 1,383.24-1,909.26-823.53

Finding the Fourth Proportional to 1,383.24, 1,909.26 and 823.53

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Solution

The fourth proportional to 1,383.24, 1,909.26 and 823.53 is: 1,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.24 : 1,909.26 = 823.53 : x
  2. Step 2: Convert to fraction form
    1,383.24/1,909.26 = 823.53/x
  3. Step 3: Cross multiply
    1,383.24x = 1,909.26 × 823.53
  4. Step 4: Simplify right side
    1,383.24x = 1,572,332.89
  5. Step 5: Solve for x
    x = 1,572,332.89/1,383.24
  6. Step 6: Final answer
    x = 1,136.70

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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.