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Finding the Fourth Proportional to 1,040.75, 1,436.24 and 575

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Solution

The fourth proportional to 1,040.75, 1,436.24 and 575 is: 793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.75 : 1,436.24 = 575 : x
  2. Step 2: Convert to fraction form
    1,040.75/1,436.24 = 575/x
  3. Step 3: Cross multiply
    1,040.75x = 1,436.24 × 575
  4. Step 4: Simplify right side
    1,040.75x = 825,835.13
  5. Step 5: Solve for x
    x = 825,835.13/1,040.75
  6. Step 6: Final answer
    x = 793.50

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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.