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Finding the Fourth Proportional to 883.81, 1,219.88 and 552.25

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Solution

The fourth proportional to 883.81, 1,219.88 and 552.25 is: 762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.81 : 1,219.88 = 552.25 : x
  2. Step 2: Convert to fraction form
    883.81/1,219.88 = 552.25/x
  3. Step 3: Cross multiply
    883.81x = 1,219.88 × 552.25
  4. Step 4: Simplify right side
    883.81x = 673,669.87
  5. Step 5: Solve for x
    x = 673,669.87/883.81
  6. Step 6: Final answer
    x = 762.24

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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.