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Finding the Fourth Proportional to 1,391.90, 2,087.62 and 417.83

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Solution

The fourth proportional to 1,391.90, 2,087.62 and 417.83 is: 626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.90 : 2,087.62 = 417.83 : x
  2. Step 2: Convert to fraction form
    1,391.90/2,087.62 = 417.83/x
  3. Step 3: Cross multiply
    1,391.90x = 2,087.62 × 417.83
  4. Step 4: Simplify right side
    1,391.90x = 872,258.78
  5. Step 5: Solve for x
    x = 872,258.78/1,391.90
  6. Step 6: Final answer
    x = 626.67

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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.