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Finding the Fourth Proportional to 940.08, 1,410.12 and 392.25

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Solution

The fourth proportional to 940.08, 1,410.12 and 392.25 is: 588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.08 : 1,410.12 = 392.25 : x
  2. Step 2: Convert to fraction form
    940.08/1,410.12 = 392.25/x
  3. Step 3: Cross multiply
    940.08x = 1,410.12 × 392.25
  4. Step 4: Simplify right side
    940.08x = 553,119.57
  5. Step 5: Solve for x
    x = 553,119.57/940.08
  6. Step 6: Final answer
    x = 588.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.