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Finding the Fourth Proportional to 930.24, 1,283.76 and 635.76

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Solution

The fourth proportional to 930.24, 1,283.76 and 635.76 is: 877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.24 : 1,283.76 = 635.76 : x
  2. Step 2: Convert to fraction form
    930.24/1,283.76 = 635.76/x
  3. Step 3: Cross multiply
    930.24x = 1,283.76 × 635.76
  4. Step 4: Simplify right side
    930.24x = 816,163.26
  5. Step 5: Solve for x
    x = 816,163.26/930.24
  6. Step 6: Final answer
    x = 877.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.