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Finding the Fourth Proportional to 927.86, 1,392.20 and 407.60

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Solution

The fourth proportional to 927.86, 1,392.20 and 407.60 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.86 : 1,392.20 = 407.60 : x
  2. Step 2: Convert to fraction form
    927.86/1,392.20 = 407.60/x
  3. Step 3: Cross multiply
    927.86x = 1,392.20 × 407.60
  4. Step 4: Simplify right side
    927.86x = 567,460.72
  5. Step 5: Solve for x
    x = 567,460.72/927.86
  6. Step 6: Final answer
    x = 611.58

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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.