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Finding the Fourth Proportional to 2,284.92, 3,427.38 and 553.55

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Solution

The fourth proportional to 2,284.92, 3,427.38 and 553.55 is: 830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.92 : 3,427.38 = 553.55 : x
  2. Step 2: Convert to fraction form
    2,284.92/3,427.38 = 553.55/x
  3. Step 3: Cross multiply
    2,284.92x = 3,427.38 × 553.55
  4. Step 4: Simplify right side
    2,284.92x = 1,897,209.06
  5. Step 5: Solve for x
    x = 1,897,209.06/2,284.92
  6. Step 6: Final answer
    x = 830.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.