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Finding the Fourth Proportional to 884.34, 1,220.62 and 552.56

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Solution

The fourth proportional to 884.34, 1,220.62 and 552.56 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.34 : 1,220.62 = 552.56 : x
  2. Step 2: Convert to fraction form
    884.34/1,220.62 = 552.56/x
  3. Step 3: Cross multiply
    884.34x = 1,220.62 × 552.56
  4. Step 4: Simplify right side
    884.34x = 674,465.79
  5. Step 5: Solve for x
    x = 674,465.79/884.34
  6. Step 6: Final answer
    x = 762.68

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Half scale
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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.