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Finding the Fourth Proportional to 826.70, 1,237.64 and 650.30

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Solution

The fourth proportional to 826.70, 1,237.64 and 650.30 is: 973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.70 : 1,237.64 = 650.30 : x
  2. Step 2: Convert to fraction form
    826.70/1,237.64 = 650.30/x
  3. Step 3: Cross multiply
    826.70x = 1,237.64 × 650.30
  4. Step 4: Simplify right side
    826.70x = 804,837.29
  5. Step 5: Solve for x
    x = 804,837.29/826.70
  6. Step 6: Final answer
    x = 973.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.