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Finding the Fourth Proportional to 913.75, 1,369.71 and 427.14

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Solution

The fourth proportional to 913.75, 1,369.71 and 427.14 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.75 : 1,369.71 = 427.14 : x
  2. Step 2: Convert to fraction form
    913.75/1,369.71 = 427.14/x
  3. Step 3: Cross multiply
    913.75x = 1,369.71 × 427.14
  4. Step 4: Simplify right side
    913.75x = 585,057.93
  5. Step 5: Solve for x
    x = 585,057.93/913.75
  6. Step 6: Final answer
    x = 640.28

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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.