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Finding the Fourth Proportional to 1,974.59, 2,961.63 and 513.70

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Solution

The fourth proportional to 1,974.59, 2,961.63 and 513.70 is: 770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.59 : 2,961.63 = 513.70 : x
  2. Step 2: Convert to fraction form
    1,974.59/2,961.63 = 513.70/x
  3. Step 3: Cross multiply
    1,974.59x = 2,961.63 × 513.70
  4. Step 4: Simplify right side
    1,974.59x = 1,521,374.52
  5. Step 5: Solve for x
    x = 1,521,374.52/1,974.59
  6. Step 6: Final answer
    x = 770.48

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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.