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Finding the Fourth Proportional to 927.66, 1,392.03 and 407.77

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Solution

The fourth proportional to 927.66, 1,392.03 and 407.77 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.66 : 1,392.03 = 407.77 : x
  2. Step 2: Convert to fraction form
    927.66/1,392.03 = 407.77/x
  3. Step 3: Cross multiply
    927.66x = 1,392.03 × 407.77
  4. Step 4: Simplify right side
    927.66x = 567,628.07
  5. Step 5: Solve for x
    x = 567,628.07/927.66
  6. Step 6: Final answer
    x = 611.90

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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.