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Finding the Fourth Proportional to 932.56, 1,398.80 and 445.44

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Solution

The fourth proportional to 932.56, 1,398.80 and 445.44 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.56 : 1,398.80 = 445.44 : x
  2. Step 2: Convert to fraction form
    932.56/1,398.80 = 445.44/x
  3. Step 3: Cross multiply
    932.56x = 1,398.80 × 445.44
  4. Step 4: Simplify right side
    932.56x = 623,081.47
  5. Step 5: Solve for x
    x = 623,081.47/932.56
  6. Step 6: Final answer
    x = 668.14

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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.