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Finding the Fourth Proportional to 914.10, 1,370.88 and 427.56

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Solution

The fourth proportional to 914.10, 1,370.88 and 427.56 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,370.88 = 427.56 : x
  2. Step 2: Convert to fraction form
    914.10/1,370.88 = 427.56/x
  3. Step 3: Cross multiply
    914.10x = 1,370.88 × 427.56
  4. Step 4: Simplify right side
    914.10x = 586,133.45
  5. Step 5: Solve for x
    x = 586,133.45/914.10
  6. Step 6: Final answer
    x = 641.21

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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.