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Finding the Fourth Proportional to 914.17, 1,270.02 and 905.64

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Solution

The fourth proportional to 914.17, 1,270.02 and 905.64 is: 1,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.17 : 1,270.02 = 905.64 : x
  2. Step 2: Convert to fraction form
    914.17/1,270.02 = 905.64/x
  3. Step 3: Cross multiply
    914.17x = 1,270.02 × 905.64
  4. Step 4: Simplify right side
    914.17x = 1,150,180.91
  5. Step 5: Solve for x
    x = 1,150,180.91/914.17
  6. Step 6: Final answer
    x = 1,258.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.