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Finding the Fourth Proportional to 934.20, 1,401.30 and 609.84

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Solution

The fourth proportional to 934.20, 1,401.30 and 609.84 is: 914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.20 : 1,401.30 = 609.84 : x
  2. Step 2: Convert to fraction form
    934.20/1,401.30 = 609.84/x
  3. Step 3: Cross multiply
    934.20x = 1,401.30 × 609.84
  4. Step 4: Simplify right side
    934.20x = 854,568.79
  5. Step 5: Solve for x
    x = 854,568.79/934.20
  6. Step 6: Final answer
    x = 914.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.