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Finding the Fourth Proportional to 914.10, 1,321.80 and 914.10

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Solution

The fourth proportional to 914.10, 1,321.80 and 914.10 is: 1,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,321.80 = 914.10 : x
  2. Step 2: Convert to fraction form
    914.10/1,321.80 = 914.10/x
  3. Step 3: Cross multiply
    914.10x = 1,321.80 × 914.10
  4. Step 4: Simplify right side
    914.10x = 1,208,257.38
  5. Step 5: Solve for x
    x = 1,208,257.38/914.10
  6. Step 6: Final answer
    x = 1,321.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.