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Finding the Fourth Proportional to 2,970.77, 4,456.85 and 890.73

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Solution

The fourth proportional to 2,970.77, 4,456.85 and 890.73 is: 1,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.77 : 4,456.85 = 890.73 : x
  2. Step 2: Convert to fraction form
    2,970.77/4,456.85 = 890.73/x
  3. Step 3: Cross multiply
    2,970.77x = 4,456.85 × 890.73
  4. Step 4: Simplify right side
    2,970.77x = 3,969,845.55
  5. Step 5: Solve for x
    x = 3,969,845.55/2,970.77
  6. Step 6: Final answer
    x = 1,336.30

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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.