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Finding the Fourth Proportional to 1,350.11, 2,024.69 and 472.37

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Solution

The fourth proportional to 1,350.11, 2,024.69 and 472.37 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.11 : 2,024.69 = 472.37 : x
  2. Step 2: Convert to fraction form
    1,350.11/2,024.69 = 472.37/x
  3. Step 3: Cross multiply
    1,350.11x = 2,024.69 × 472.37
  4. Step 4: Simplify right side
    1,350.11x = 956,390.33
  5. Step 5: Solve for x
    x = 956,390.33/1,350.11
  6. Step 6: Final answer
    x = 708.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.