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Finding the Fourth Proportional to 569.48, 785.49 and 550.43

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Solution

The fourth proportional to 569.48, 785.49 and 550.43 is: 759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 785.49 = 550.43 : x
  2. Step 2: Convert to fraction form
    569.48/785.49 = 550.43/x
  3. Step 3: Cross multiply
    569.48x = 785.49 × 550.43
  4. Step 4: Simplify right side
    569.48x = 432,354.21
  5. Step 5: Solve for x
    x = 432,354.21/569.48
  6. Step 6: Final answer
    x = 759.22

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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.