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Finding the Fourth Proportional to 884.26, 1,220.28 and 511.30

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Solution

The fourth proportional to 884.26, 1,220.28 and 511.30 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.26 : 1,220.28 = 511.30 : x
  2. Step 2: Convert to fraction form
    884.26/1,220.28 = 511.30/x
  3. Step 3: Cross multiply
    884.26x = 1,220.28 × 511.30
  4. Step 4: Simplify right side
    884.26x = 623,923.06
  5. Step 5: Solve for x
    x = 623,923.06/884.26
  6. Step 6: Final answer
    x = 705.59

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Double scale
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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.