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Finding the Fourth Proportional to 612.16, 918.27 and 439.61

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Solution

The fourth proportional to 612.16, 918.27 and 439.61 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 918.27 = 439.61 : x
  2. Step 2: Convert to fraction form
    612.16/918.27 = 439.61/x
  3. Step 3: Cross multiply
    612.16x = 918.27 × 439.61
  4. Step 4: Simplify right side
    612.16x = 403,676.08
  5. Step 5: Solve for x
    x = 403,676.08/612.16
  6. Step 6: Final answer
    x = 659.43

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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.