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Finding the Fourth Proportional to 1,015.62, 1,401.63 and 573.54

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Solution

The fourth proportional to 1,015.62, 1,401.63 and 573.54 is: 791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.62 : 1,401.63 = 573.54 : x
  2. Step 2: Convert to fraction form
    1,015.62/1,401.63 = 573.54/x
  3. Step 3: Cross multiply
    1,015.62x = 1,401.63 × 573.54
  4. Step 4: Simplify right side
    1,015.62x = 803,890.87
  5. Step 5: Solve for x
    x = 803,890.87/1,015.62
  6. Step 6: Final answer
    x = 791.53

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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.