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Finding the Fourth Proportional to 930.27, 1,402.79 and 917.91

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Solution

The fourth proportional to 930.27, 1,402.79 and 917.91 is: 1,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.27 : 1,402.79 = 917.91 : x
  2. Step 2: Convert to fraction form
    930.27/1,402.79 = 917.91/x
  3. Step 3: Cross multiply
    930.27x = 1,402.79 × 917.91
  4. Step 4: Simplify right side
    930.27x = 1,287,634.97
  5. Step 5: Solve for x
    x = 1,287,634.97/930.27
  6. Step 6: Final answer
    x = 1,384.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.