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Finding the Fourth Proportional to 609.66, 913.14 and 390.42

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Solution

The fourth proportional to 609.66, 913.14 and 390.42 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 913.14 = 390.42 : x
  2. Step 2: Convert to fraction form
    609.66/913.14 = 390.42/x
  3. Step 3: Cross multiply
    609.66x = 913.14 × 390.42
  4. Step 4: Simplify right side
    609.66x = 356,508.12
  5. Step 5: Solve for x
    x = 356,508.12/609.66
  6. Step 6: Final answer
    x = 584.77

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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.