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Finding the Fourth Proportional to 884.24, 1,220.01 and 525.27

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Solution

The fourth proportional to 884.24, 1,220.01 and 525.27 is: 724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.24 : 1,220.01 = 525.27 : x
  2. Step 2: Convert to fraction form
    884.24/1,220.01 = 525.27/x
  3. Step 3: Cross multiply
    884.24x = 1,220.01 × 525.27
  4. Step 4: Simplify right side
    884.24x = 640,837.26
  5. Step 5: Solve for x
    x = 640,837.26/884.24
  6. Step 6: Final answer
    x = 724.73

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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.