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Finding the Fourth Proportional to 1,049.11, 1,574.26 and 471.98

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Solution

The fourth proportional to 1,049.11, 1,574.26 and 471.98 is: 708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.11 : 1,574.26 = 471.98 : x
  2. Step 2: Convert to fraction form
    1,049.11/1,574.26 = 471.98/x
  3. Step 3: Cross multiply
    1,049.11x = 1,574.26 × 471.98
  4. Step 4: Simplify right side
    1,049.11x = 743,019.23
  5. Step 5: Solve for x
    x = 743,019.23/1,049.11
  6. Step 6: Final answer
    x = 708.24

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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.