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Finding the Fourth Proportional to 2,280.94, 3,421.54 and 720.98

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Solution

The fourth proportional to 2,280.94, 3,421.54 and 720.98 is: 1,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.94 : 3,421.54 = 720.98 : x
  2. Step 2: Convert to fraction form
    2,280.94/3,421.54 = 720.98/x
  3. Step 3: Cross multiply
    2,280.94x = 3,421.54 × 720.98
  4. Step 4: Simplify right side
    2,280.94x = 2,466,861.91
  5. Step 5: Solve for x
    x = 2,466,861.91/2,280.94
  6. Step 6: Final answer
    x = 1,081.51

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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.