Home / 1,031.79-1,423.80-589.71

Finding the Fourth Proportional to 1,031.79, 1,423.80 and 589.71

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Solution

The fourth proportional to 1,031.79, 1,423.80 and 589.71 is: 813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.79 : 1,423.80 = 589.71 : x
  2. Step 2: Convert to fraction form
    1,031.79/1,423.80 = 589.71/x
  3. Step 3: Cross multiply
    1,031.79x = 1,423.80 × 589.71
  4. Step 4: Simplify right side
    1,031.79x = 839,629.10
  5. Step 5: Solve for x
    x = 839,629.10/1,031.79
  6. Step 6: Final answer
    x = 813.76

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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.