Home / 1,527.44-2,291.52-431.78

Finding the Fourth Proportional to 1,527.44, 2,291.52 and 431.78

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Solution

The fourth proportional to 1,527.44, 2,291.52 and 431.78 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.44 : 2,291.52 = 431.78 : x
  2. Step 2: Convert to fraction form
    1,527.44/2,291.52 = 431.78/x
  3. Step 3: Cross multiply
    1,527.44x = 2,291.52 × 431.78
  4. Step 4: Simplify right side
    1,527.44x = 989,421.05
  5. Step 5: Solve for x
    x = 989,421.05/1,527.44
  6. Step 6: Final answer
    x = 647.77

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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.