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Finding the Fourth Proportional to 927.12, 1,392.06 and 582.62

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Solution

The fourth proportional to 927.12, 1,392.06 and 582.62 is: 874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.12 : 1,392.06 = 582.62 : x
  2. Step 2: Convert to fraction form
    927.12/1,392.06 = 582.62/x
  3. Step 3: Cross multiply
    927.12x = 1,392.06 × 582.62
  4. Step 4: Simplify right side
    927.12x = 811,042.00
  5. Step 5: Solve for x
    x = 811,042.00/927.12
  6. Step 6: Final answer
    x = 874.80

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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.