Home / 1,146.54-1,719.27-415.92

Finding the Fourth Proportional to 1,146.54, 1,719.27 and 415.92

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Solution

The fourth proportional to 1,146.54, 1,719.27 and 415.92 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.54 : 1,719.27 = 415.92 : x
  2. Step 2: Convert to fraction form
    1,146.54/1,719.27 = 415.92/x
  3. Step 3: Cross multiply
    1,146.54x = 1,719.27 × 415.92
  4. Step 4: Simplify right side
    1,146.54x = 715,078.78
  5. Step 5: Solve for x
    x = 715,078.78/1,146.54
  6. Step 6: Final answer
    x = 623.68

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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.