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Finding the Fourth Proportional to 914.02, 1,370.88 and 427.12

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Solution

The fourth proportional to 914.02, 1,370.88 and 427.12 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.02 : 1,370.88 = 427.12 : x
  2. Step 2: Convert to fraction form
    914.02/1,370.88 = 427.12/x
  3. Step 3: Cross multiply
    914.02x = 1,370.88 × 427.12
  4. Step 4: Simplify right side
    914.02x = 585,530.27
  5. Step 5: Solve for x
    x = 585,530.27/914.02
  6. Step 6: Final answer
    x = 640.61

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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.