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Finding the Fourth Proportional to 930.06, 1,392.63 and 581.94

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Solution

The fourth proportional to 930.06, 1,392.63 and 581.94 is: 871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.06 : 1,392.63 = 581.94 : x
  2. Step 2: Convert to fraction form
    930.06/1,392.63 = 581.94/x
  3. Step 3: Cross multiply
    930.06x = 1,392.63 × 581.94
  4. Step 4: Simplify right side
    930.06x = 810,427.10
  5. Step 5: Solve for x
    x = 810,427.10/930.06
  6. Step 6: Final answer
    x = 871.37

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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.