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Finding the Fourth Proportional to 770.41, 1,155.07 and 405.46

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Solution

The fourth proportional to 770.41, 1,155.07 and 405.46 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.41 : 1,155.07 = 405.46 : x
  2. Step 2: Convert to fraction form
    770.41/1,155.07 = 405.46/x
  3. Step 3: Cross multiply
    770.41x = 1,155.07 × 405.46
  4. Step 4: Simplify right side
    770.41x = 468,334.68
  5. Step 5: Solve for x
    x = 468,334.68/770.41
  6. Step 6: Final answer
    x = 607.90

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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.