Home / 1,527.09-2,290.20-589.82

Finding the Fourth Proportional to 1,527.09, 2,290.20 and 589.82

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Solution

The fourth proportional to 1,527.09, 2,290.20 and 589.82 is: 884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.09 : 2,290.20 = 589.82 : x
  2. Step 2: Convert to fraction form
    1,527.09/2,290.20 = 589.82/x
  3. Step 3: Cross multiply
    1,527.09x = 2,290.20 × 589.82
  4. Step 4: Simplify right side
    1,527.09x = 1,350,793.76
  5. Step 5: Solve for x
    x = 1,350,793.76/1,527.09
  6. Step 6: Final answer
    x = 884.56

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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.