Home / 1,527.49-2,290.97-431.60

Finding the Fourth Proportional to 1,527.49, 2,290.97 and 431.60

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Solution

The fourth proportional to 1,527.49, 2,290.97 and 431.60 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.49 : 2,290.97 = 431.60 : x
  2. Step 2: Convert to fraction form
    1,527.49/2,290.97 = 431.60/x
  3. Step 3: Cross multiply
    1,527.49x = 2,290.97 × 431.60
  4. Step 4: Simplify right side
    1,527.49x = 988,782.65
  5. Step 5: Solve for x
    x = 988,782.65/1,527.49
  6. Step 6: Final answer
    x = 647.33

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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.