Home / 1,464.72-2,194.80-597.60

Finding the Fourth Proportional to 1,464.72, 2,194.80 and 597.60

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Solution

The fourth proportional to 1,464.72, 2,194.80 and 597.60 is: 895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.72 : 2,194.80 = 597.60 : x
  2. Step 2: Convert to fraction form
    1,464.72/2,194.80 = 597.60/x
  3. Step 3: Cross multiply
    1,464.72x = 2,194.80 × 597.60
  4. Step 4: Simplify right side
    1,464.72x = 1,311,612.48
  5. Step 5: Solve for x
    x = 1,311,612.48/1,464.72
  6. Step 6: Final answer
    x = 895.47

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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.