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Finding the Fourth Proportional to 847.21, 1,169.25 and 474.20

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Solution

The fourth proportional to 847.21, 1,169.25 and 474.20 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.21 : 1,169.25 = 474.20 : x
  2. Step 2: Convert to fraction form
    847.21/1,169.25 = 474.20/x
  3. Step 3: Cross multiply
    847.21x = 1,169.25 × 474.20
  4. Step 4: Simplify right side
    847.21x = 554,458.35
  5. Step 5: Solve for x
    x = 554,458.35/847.21
  6. Step 6: Final answer
    x = 654.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.