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Finding the Fourth Proportional to 932.27, 1,399.32 and 445.66

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Solution

The fourth proportional to 932.27, 1,399.32 and 445.66 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.27 : 1,399.32 = 445.66 : x
  2. Step 2: Convert to fraction form
    932.27/1,399.32 = 445.66/x
  3. Step 3: Cross multiply
    932.27x = 1,399.32 × 445.66
  4. Step 4: Simplify right side
    932.27x = 623,617.45
  5. Step 5: Solve for x
    x = 623,617.45/932.27
  6. Step 6: Final answer
    x = 668.93

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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.