Home / 1,031.56-1,423.62-589.51

Finding the Fourth Proportional to 1,031.56, 1,423.62 and 589.51

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Solution

The fourth proportional to 1,031.56, 1,423.62 and 589.51 is: 813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.56 : 1,423.62 = 589.51 : x
  2. Step 2: Convert to fraction form
    1,031.56/1,423.62 = 589.51/x
  3. Step 3: Cross multiply
    1,031.56x = 1,423.62 × 589.51
  4. Step 4: Simplify right side
    1,031.56x = 839,238.23
  5. Step 5: Solve for x
    x = 839,238.23/1,031.56
  6. Step 6: Final answer
    x = 813.56

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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.