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Finding the Fourth Proportional to 914.92, 1,374.54 and 843.64

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Solution

The fourth proportional to 914.92, 1,374.54 and 843.64 is: 1,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.92 : 1,374.54 = 843.64 : x
  2. Step 2: Convert to fraction form
    914.92/1,374.54 = 843.64/x
  3. Step 3: Cross multiply
    914.92x = 1,374.54 × 843.64
  4. Step 4: Simplify right side
    914.92x = 1,159,616.93
  5. Step 5: Solve for x
    x = 1,159,616.93/914.92
  6. Step 6: Final answer
    x = 1,267.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.