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Finding the Fourth Proportional to 609.90, 912.69 and 352.14

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Solution

The fourth proportional to 609.90, 912.69 and 352.14 is: 526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.90 : 912.69 = 352.14 : x
  2. Step 2: Convert to fraction form
    609.90/912.69 = 352.14/x
  3. Step 3: Cross multiply
    609.90x = 912.69 × 352.14
  4. Step 4: Simplify right side
    609.90x = 321,394.66
  5. Step 5: Solve for x
    x = 321,394.66/609.90
  6. Step 6: Final answer
    x = 526.96

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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.