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Finding the Fourth Proportional to 847.36, 1,270.92 and 414.40

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Solution

The fourth proportional to 847.36, 1,270.92 and 414.40 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.36 : 1,270.92 = 414.40 : x
  2. Step 2: Convert to fraction form
    847.36/1,270.92 = 414.40/x
  3. Step 3: Cross multiply
    847.36x = 1,270.92 × 414.40
  4. Step 4: Simplify right side
    847.36x = 526,669.25
  5. Step 5: Solve for x
    x = 526,669.25/847.36
  6. Step 6: Final answer
    x = 621.54

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