Home / 1,527.75-2,291.42-432.20

Finding the Fourth Proportional to 1,527.75, 2,291.42 and 432.20

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Solution

The fourth proportional to 1,527.75, 2,291.42 and 432.20 is: 648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.75 : 2,291.42 = 432.20 : x
  2. Step 2: Convert to fraction form
    1,527.75/2,291.42 = 432.20/x
  3. Step 3: Cross multiply
    1,527.75x = 2,291.42 × 432.20
  4. Step 4: Simplify right side
    1,527.75x = 990,351.72
  5. Step 5: Solve for x
    x = 990,351.72/1,527.75
  6. Step 6: Final answer
    x = 648.24

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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.