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Finding the Fourth Proportional to 932.33, 1,398.80 and 445.39

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Solution

The fourth proportional to 932.33, 1,398.80 and 445.39 is: 668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.33 : 1,398.80 = 445.39 : x
  2. Step 2: Convert to fraction form
    932.33/1,398.80 = 445.39/x
  3. Step 3: Cross multiply
    932.33x = 1,398.80 × 445.39
  4. Step 4: Simplify right side
    932.33x = 623,009.15
  5. Step 5: Solve for x
    x = 623,009.15/932.33
  6. Step 6: Final answer
    x = 668.23

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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.