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Finding the Fourth Proportional to 930.07, 1,392.94 and 784.27

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Solution

The fourth proportional to 930.07, 1,392.94 and 784.27 is: 1,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.07 : 1,392.94 = 784.27 : x
  2. Step 2: Convert to fraction form
    930.07/1,392.94 = 784.27/x
  3. Step 3: Cross multiply
    930.07x = 1,392.94 × 784.27
  4. Step 4: Simplify right side
    930.07x = 1,092,441.05
  5. Step 5: Solve for x
    x = 1,092,441.05/930.07
  6. Step 6: Final answer
    x = 1,174.58

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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.