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Finding the Fourth Proportional to 1,973.99, 2,960.91 and 513.23

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Solution

The fourth proportional to 1,973.99, 2,960.91 and 513.23 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.99 : 2,960.91 = 513.23 : x
  2. Step 2: Convert to fraction form
    1,973.99/2,960.91 = 513.23/x
  3. Step 3: Cross multiply
    1,973.99x = 2,960.91 × 513.23
  4. Step 4: Simplify right side
    1,973.99x = 1,519,613.03
  5. Step 5: Solve for x
    x = 1,519,613.03/1,973.99
  6. Step 6: Final answer
    x = 769.82

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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.