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Finding the Fourth Proportional to 2,245.71, 3,369.23 and 784.98

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Solution

The fourth proportional to 2,245.71, 3,369.23 and 784.98 is: 1,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.71 : 3,369.23 = 784.98 : x
  2. Step 2: Convert to fraction form
    2,245.71/3,369.23 = 784.98/x
  3. Step 3: Cross multiply
    2,245.71x = 3,369.23 × 784.98
  4. Step 4: Simplify right side
    2,245.71x = 2,644,774.24
  5. Step 5: Solve for x
    x = 2,644,774.24/2,245.71
  6. Step 6: Final answer
    x = 1,177.70

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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.