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Finding the Fourth Proportional to 609.46, 912.54 and 320.28

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Solution

The fourth proportional to 609.46, 912.54 and 320.28 is: 479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.46 : 912.54 = 320.28 : x
  2. Step 2: Convert to fraction form
    609.46/912.54 = 320.28/x
  3. Step 3: Cross multiply
    609.46x = 912.54 × 320.28
  4. Step 4: Simplify right side
    609.46x = 292,268.31
  5. Step 5: Solve for x
    x = 292,268.31/609.46
  6. Step 6: Final answer
    x = 479.55

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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.