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Finding the Fourth Proportional to 1,975.64, 2,963.54 and 514.81

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Solution

The fourth proportional to 1,975.64, 2,963.54 and 514.81 is: 772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.64 : 2,963.54 = 514.81 : x
  2. Step 2: Convert to fraction form
    1,975.64/2,963.54 = 514.81/x
  3. Step 3: Cross multiply
    1,975.64x = 2,963.54 × 514.81
  4. Step 4: Simplify right side
    1,975.64x = 1,525,645.45
  5. Step 5: Solve for x
    x = 1,525,645.45/1,975.64
  6. Step 6: Final answer
    x = 772.23

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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.