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Finding the Fourth Proportional to 1,048.15, 1,447.50 and 863.47

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Solution

The fourth proportional to 1,048.15, 1,447.50 and 863.47 is: 1,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.15 : 1,447.50 = 863.47 : x
  2. Step 2: Convert to fraction form
    1,048.15/1,447.50 = 863.47/x
  3. Step 3: Cross multiply
    1,048.15x = 1,447.50 × 863.47
  4. Step 4: Simplify right side
    1,048.15x = 1,249,872.83
  5. Step 5: Solve for x
    x = 1,249,872.83/1,048.15
  6. Step 6: Final answer
    x = 1,192.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.