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Finding the Fourth Proportional to 984.05, 1,475.26 and 463.78

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Solution

The fourth proportional to 984.05, 1,475.26 and 463.78 is: 695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,475.26 = 463.78 : x
  2. Step 2: Convert to fraction form
    984.05/1,475.26 = 463.78/x
  3. Step 3: Cross multiply
    984.05x = 1,475.26 × 463.78
  4. Step 4: Simplify right side
    984.05x = 684,191.24
  5. Step 5: Solve for x
    x = 684,191.24/984.05
  6. Step 6: Final answer
    x = 695.28

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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.