Home / 1,527.24-2,290.97-431.52

Finding the Fourth Proportional to 1,527.24, 2,290.97 and 431.52

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Solution

The fourth proportional to 1,527.24, 2,290.97 and 431.52 is: 647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.24 : 2,290.97 = 431.52 : x
  2. Step 2: Convert to fraction form
    1,527.24/2,290.97 = 431.52/x
  3. Step 3: Cross multiply
    1,527.24x = 2,290.97 × 431.52
  4. Step 4: Simplify right side
    1,527.24x = 988,599.37
  5. Step 5: Solve for x
    x = 988,599.37/1,527.24
  6. Step 6: Final answer
    x = 647.31

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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.