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Finding the Fourth Proportional to 569.12, 784.74 and 495.26

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Solution

The fourth proportional to 569.12, 784.74 and 495.26 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 784.74 = 495.26 : x
  2. Step 2: Convert to fraction form
    569.12/784.74 = 495.26/x
  3. Step 3: Cross multiply
    569.12x = 784.74 × 495.26
  4. Step 4: Simplify right side
    569.12x = 388,650.33
  5. Step 5: Solve for x
    x = 388,650.33/569.12
  6. Step 6: Final answer
    x = 682.90

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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.