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Finding the Fourth Proportional to 609.40, 912.69 and 392.32

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Solution

The fourth proportional to 609.40, 912.69 and 392.32 is: 587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 912.69 = 392.32 : x
  2. Step 2: Convert to fraction form
    609.40/912.69 = 392.32/x
  3. Step 3: Cross multiply
    609.40x = 912.69 × 392.32
  4. Step 4: Simplify right side
    609.40x = 358,066.54
  5. Step 5: Solve for x
    x = 358,066.54/609.40
  6. Step 6: Final answer
    x = 587.57

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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.