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Finding the Fourth Proportional to 929.60, 1,282.16 and 812.96

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Solution

The fourth proportional to 929.60, 1,282.16 and 812.96 is: 1,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,282.16 = 812.96 : x
  2. Step 2: Convert to fraction form
    929.60/1,282.16 = 812.96/x
  3. Step 3: Cross multiply
    929.60x = 1,282.16 × 812.96
  4. Step 4: Simplify right side
    929.60x = 1,042,344.79
  5. Step 5: Solve for x
    x = 1,042,344.79/929.60
  6. Step 6: Final answer
    x = 1,121.28

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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.