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Finding the Fourth Proportional to 914.06, 1,370.94 and 264.65

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Solution

The fourth proportional to 914.06, 1,370.94 and 264.65 is: 396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.06 : 1,370.94 = 264.65 : x
  2. Step 2: Convert to fraction form
    914.06/1,370.94 = 264.65/x
  3. Step 3: Cross multiply
    914.06x = 1,370.94 × 264.65
  4. Step 4: Simplify right side
    914.06x = 362,819.27
  5. Step 5: Solve for x
    x = 362,819.27/914.06
  6. Step 6: Final answer
    x = 396.93

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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.