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Finding the Fourth Proportional to 2,284.80, 3,425.70 and 897.30

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Solution

The fourth proportional to 2,284.80, 3,425.70 and 897.30 is: 1,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.80 : 3,425.70 = 897.30 : x
  2. Step 2: Convert to fraction form
    2,284.80/3,425.70 = 897.30/x
  3. Step 3: Cross multiply
    2,284.80x = 3,425.70 × 897.30
  4. Step 4: Simplify right side
    2,284.80x = 3,073,880.61
  5. Step 5: Solve for x
    x = 3,073,880.61/2,284.80
  6. Step 6: Final answer
    x = 1,345.36

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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.