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Finding the Fourth Proportional to 1,328.94, 1,993.81 and 463.25

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Solution

The fourth proportional to 1,328.94, 1,993.81 and 463.25 is: 695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.94 : 1,993.81 = 463.25 : x
  2. Step 2: Convert to fraction form
    1,328.94/1,993.81 = 463.25/x
  3. Step 3: Cross multiply
    1,328.94x = 1,993.81 × 463.25
  4. Step 4: Simplify right side
    1,328.94x = 923,632.48
  5. Step 5: Solve for x
    x = 923,632.48/1,328.94
  6. Step 6: Final answer
    x = 695.01

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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.