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Finding the Fourth Proportional to 1,048.60, 1,571.73 and 463.42

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Solution

The fourth proportional to 1,048.60, 1,571.73 and 463.42 is: 694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.60 : 1,571.73 = 463.42 : x
  2. Step 2: Convert to fraction form
    1,048.60/1,571.73 = 463.42/x
  3. Step 3: Cross multiply
    1,048.60x = 1,571.73 × 463.42
  4. Step 4: Simplify right side
    1,048.60x = 728,371.12
  5. Step 5: Solve for x
    x = 728,371.12/1,048.60
  6. Step 6: Final answer
    x = 694.61

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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.