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Finding the Fourth Proportional to 826.00, 1,138.71 and 589.88

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Solution

The fourth proportional to 826.00, 1,138.71 and 589.88 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.00 : 1,138.71 = 589.88 : x
  2. Step 2: Convert to fraction form
    826.00/1,138.71 = 589.88/x
  3. Step 3: Cross multiply
    826.00x = 1,138.71 × 589.88
  4. Step 4: Simplify right side
    826.00x = 671,704.00
  5. Step 5: Solve for x
    x = 671,704.00/826.00
  6. Step 6: Final answer
    x = 813.20

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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.