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Finding the Fourth Proportional to 1,973.79, 2,960.84 and 512.96

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Solution

The fourth proportional to 1,973.79, 2,960.84 and 512.96 is: 769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.79 : 2,960.84 = 512.96 : x
  2. Step 2: Convert to fraction form
    1,973.79/2,960.84 = 512.96/x
  3. Step 3: Cross multiply
    1,973.79x = 2,960.84 × 512.96
  4. Step 4: Simplify right side
    1,973.79x = 1,518,778.96
  5. Step 5: Solve for x
    x = 1,518,778.96/1,973.79
  6. Step 6: Final answer
    x = 769.47

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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.