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Finding the Fourth Proportional to 940.62, 1,410.59 and 385.19

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Solution

The fourth proportional to 940.62, 1,410.59 and 385.19 is: 577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.62 : 1,410.59 = 385.19 : x
  2. Step 2: Convert to fraction form
    940.62/1,410.59 = 385.19/x
  3. Step 3: Cross multiply
    940.62x = 1,410.59 × 385.19
  4. Step 4: Simplify right side
    940.62x = 543,336.18
  5. Step 5: Solve for x
    x = 543,336.18/940.62
  6. Step 6: Final answer
    x = 577.64

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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.