Home / 1,055.26-1,456.24-589.62

Finding the Fourth Proportional to 1,055.26, 1,456.24 and 589.62

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Solution

The fourth proportional to 1,055.26, 1,456.24 and 589.62 is: 813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.26 : 1,456.24 = 589.62 : x
  2. Step 2: Convert to fraction form
    1,055.26/1,456.24 = 589.62/x
  3. Step 3: Cross multiply
    1,055.26x = 1,456.24 × 589.62
  4. Step 4: Simplify right side
    1,055.26x = 858,628.23
  5. Step 5: Solve for x
    x = 858,628.23/1,055.26
  6. Step 6: Final answer
    x = 813.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.