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Finding the Fourth Proportional to 1,041.33, 1,563.14 and 521.19

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Solution

The fourth proportional to 1,041.33, 1,563.14 and 521.19 is: 782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.33 : 1,563.14 = 521.19 : x
  2. Step 2: Convert to fraction form
    1,041.33/1,563.14 = 521.19/x
  3. Step 3: Cross multiply
    1,041.33x = 1,563.14 × 521.19
  4. Step 4: Simplify right side
    1,041.33x = 814,692.94
  5. Step 5: Solve for x
    x = 814,692.94/1,041.33
  6. Step 6: Final answer
    x = 782.36

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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.