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Finding the Fourth Proportional to 452.94, 680.37 and 389.58

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Solution

The fourth proportional to 452.94, 680.37 and 389.58 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.94 : 680.37 = 389.58 : x
  2. Step 2: Convert to fraction form
    452.94/680.37 = 389.58/x
  3. Step 3: Cross multiply
    452.94x = 680.37 × 389.58
  4. Step 4: Simplify right side
    452.94x = 265,058.54
  5. Step 5: Solve for x
    x = 265,058.54/452.94
  6. Step 6: Final answer
    x = 585.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.