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Finding the Fourth Proportional to 910.62, 1,359.34 and 843

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Solution

The fourth proportional to 910.62, 1,359.34 and 843 is: 1,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.62 : 1,359.34 = 843 : x
  2. Step 2: Convert to fraction form
    910.62/1,359.34 = 843/x
  3. Step 3: Cross multiply
    910.62x = 1,359.34 × 843
  4. Step 4: Simplify right side
    910.62x = 1,145,923.62
  5. Step 5: Solve for x
    x = 1,145,923.62/910.62
  6. Step 6: Final answer
    x = 1,258.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.