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Finding the Fourth Proportional to 847.83, 1,271.34 and 327.45

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Solution

The fourth proportional to 847.83, 1,271.34 and 327.45 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.83 : 1,271.34 = 327.45 : x
  2. Step 2: Convert to fraction form
    847.83/1,271.34 = 327.45/x
  3. Step 3: Cross multiply
    847.83x = 1,271.34 × 327.45
  4. Step 4: Simplify right side
    847.83x = 416,300.28
  5. Step 5: Solve for x
    x = 416,300.28/847.83
  6. Step 6: Final answer
    x = 491.02

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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.