Home / 1,031.36-1,423.26-589.19

Finding the Fourth Proportional to 1,031.36, 1,423.26 and 589.19

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Solution

The fourth proportional to 1,031.36, 1,423.26 and 589.19 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.36 : 1,423.26 = 589.19 : x
  2. Step 2: Convert to fraction form
    1,031.36/1,423.26 = 589.19/x
  3. Step 3: Cross multiply
    1,031.36x = 1,423.26 × 589.19
  4. Step 4: Simplify right side
    1,031.36x = 838,570.56
  5. Step 5: Solve for x
    x = 838,570.56/1,031.36
  6. Step 6: Final answer
    x = 813.07

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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.