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Finding the Fourth Proportional to 609.51, 912.88 and 427.71

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Solution

The fourth proportional to 609.51, 912.88 and 427.71 is: 640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 912.88 = 427.71 : x
  2. Step 2: Convert to fraction form
    609.51/912.88 = 427.71/x
  3. Step 3: Cross multiply
    609.51x = 912.88 × 427.71
  4. Step 4: Simplify right side
    609.51x = 390,447.90
  5. Step 5: Solve for x
    x = 390,447.90/609.51
  6. Step 6: Final answer
    x = 640.59

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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.