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Finding the Fourth Proportional to 857.26, 1,183.35 and 578.29

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Solution

The fourth proportional to 857.26, 1,183.35 and 578.29 is: 798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.26 : 1,183.35 = 578.29 : x
  2. Step 2: Convert to fraction form
    857.26/1,183.35 = 578.29/x
  3. Step 3: Cross multiply
    857.26x = 1,183.35 × 578.29
  4. Step 4: Simplify right side
    857.26x = 684,319.47
  5. Step 5: Solve for x
    x = 684,319.47/857.26
  6. Step 6: Final answer
    x = 798.26

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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.