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Finding the Fourth Proportional to 884.80, 1,221.12 and 511.77

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Solution

The fourth proportional to 884.80, 1,221.12 and 511.77 is: 706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.80 : 1,221.12 = 511.77 : x
  2. Step 2: Convert to fraction form
    884.80/1,221.12 = 511.77/x
  3. Step 3: Cross multiply
    884.80x = 1,221.12 × 511.77
  4. Step 4: Simplify right side
    884.80x = 624,930.02
  5. Step 5: Solve for x
    x = 624,930.02/884.80
  6. Step 6: Final answer
    x = 706.30

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1.5x scale

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.