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Finding the Fourth Proportional to 569.29, 785.41 and 359.49

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Solution

The fourth proportional to 569.29, 785.41 and 359.49 is: 495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.29 : 785.41 = 359.49 : x
  2. Step 2: Convert to fraction form
    569.29/785.41 = 359.49/x
  3. Step 3: Cross multiply
    569.29x = 785.41 × 359.49
  4. Step 4: Simplify right side
    569.29x = 282,347.04
  5. Step 5: Solve for x
    x = 282,347.04/569.29
  6. Step 6: Final answer
    x = 495.96

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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.