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Finding the Fourth Proportional to 771.59, 1,155.30 and 405.60

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Solution

The fourth proportional to 771.59, 1,155.30 and 405.60 is: 607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,155.30 = 405.60 : x
  2. Step 2: Convert to fraction form
    771.59/1,155.30 = 405.60/x
  3. Step 3: Cross multiply
    771.59x = 1,155.30 × 405.60
  4. Step 4: Simplify right side
    771.59x = 468,589.68
  5. Step 5: Solve for x
    x = 468,589.68/771.59
  6. Step 6: Final answer
    x = 607.31

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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.