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Finding the Fourth Proportional to 1,043.21, 1,563 and 554.78

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Solution

The fourth proportional to 1,043.21, 1,563 and 554.78 is: 831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.21 : 1,563 = 554.78 : x
  2. Step 2: Convert to fraction form
    1,043.21/1,563 = 554.78/x
  3. Step 3: Cross multiply
    1,043.21x = 1,563 × 554.78
  4. Step 4: Simplify right side
    1,043.21x = 867,113.33
  5. Step 5: Solve for x
    x = 867,113.33/1,043.21
  6. Step 6: Final answer
    x = 831.20

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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.