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Finding the Fourth Proportional to 770.67, 1,156.04 and 405.56

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Solution

The fourth proportional to 770.67, 1,156.04 and 405.56 is: 608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.67 : 1,156.04 = 405.56 : x
  2. Step 2: Convert to fraction form
    770.67/1,156.04 = 405.56/x
  3. Step 3: Cross multiply
    770.67x = 1,156.04 × 405.56
  4. Step 4: Simplify right side
    770.67x = 468,843.58
  5. Step 5: Solve for x
    x = 468,843.58/770.67
  6. Step 6: Final answer
    x = 608.36

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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.