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Finding the Fourth Proportional to 773.30, 1,159.40 and 408.33

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Solution

The fourth proportional to 773.30, 1,159.40 and 408.33 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.30 : 1,159.40 = 408.33 : x
  2. Step 2: Convert to fraction form
    773.30/1,159.40 = 408.33/x
  3. Step 3: Cross multiply
    773.30x = 1,159.40 × 408.33
  4. Step 4: Simplify right side
    773.30x = 473,415.76
  5. Step 5: Solve for x
    x = 473,415.76/773.30
  6. Step 6: Final answer
    x = 612.21

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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.