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Finding the Fourth Proportional to 823.23, 1,135.53 and 491.43

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Solution

The fourth proportional to 823.23, 1,135.53 and 491.43 is: 677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,135.53 = 491.43 : x
  2. Step 2: Convert to fraction form
    823.23/1,135.53 = 491.43/x
  3. Step 3: Cross multiply
    823.23x = 1,135.53 × 491.43
  4. Step 4: Simplify right side
    823.23x = 558,033.51
  5. Step 5: Solve for x
    x = 558,033.51/823.23
  6. Step 6: Final answer
    x = 677.86

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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.