Home / 1,197.02-1,795.37-456.43

Finding the Fourth Proportional to 1,197.02, 1,795.37 and 456.43

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Solution

The fourth proportional to 1,197.02, 1,795.37 and 456.43 is: 684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.02 : 1,795.37 = 456.43 : x
  2. Step 2: Convert to fraction form
    1,197.02/1,795.37 = 456.43/x
  3. Step 3: Cross multiply
    1,197.02x = 1,795.37 × 456.43
  4. Step 4: Simplify right side
    1,197.02x = 819,460.73
  5. Step 5: Solve for x
    x = 819,460.73/1,197.02
  6. Step 6: Final answer
    x = 684.58

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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.