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Finding the Fourth Proportional to 772.06, 1,156.73 and 405.98

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Solution

The fourth proportional to 772.06, 1,156.73 and 405.98 is: 608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.06 : 1,156.73 = 405.98 : x
  2. Step 2: Convert to fraction form
    772.06/1,156.73 = 405.98/x
  3. Step 3: Cross multiply
    772.06x = 1,156.73 × 405.98
  4. Step 4: Simplify right side
    772.06x = 469,609.25
  5. Step 5: Solve for x
    x = 469,609.25/772.06
  6. Step 6: Final answer
    x = 608.25

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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.