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Finding the Fourth Proportional to 772.21, 1,157.70 and 339.13

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Solution

The fourth proportional to 772.21, 1,157.70 and 339.13 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.21 : 1,157.70 = 339.13 : x
  2. Step 2: Convert to fraction form
    772.21/1,157.70 = 339.13/x
  3. Step 3: Cross multiply
    772.21x = 1,157.70 × 339.13
  4. Step 4: Simplify right side
    772.21x = 392,610.80
  5. Step 5: Solve for x
    x = 392,610.80/772.21
  6. Step 6: Final answer
    x = 508.42

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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.