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Finding the Fourth Proportional to 826.50, 1,239.81 and 278.64

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Solution

The fourth proportional to 826.50, 1,239.81 and 278.64 is: 417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.50 : 1,239.81 = 278.64 : x
  2. Step 2: Convert to fraction form
    826.50/1,239.81 = 278.64/x
  3. Step 3: Cross multiply
    826.50x = 1,239.81 × 278.64
  4. Step 4: Simplify right side
    826.50x = 345,459.61
  5. Step 5: Solve for x
    x = 345,459.61/826.50
  6. Step 6: Final answer
    x = 417.98

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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.