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Finding the Fourth Proportional to 612.72, 918.57 and 338.82

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Solution

The fourth proportional to 612.72, 918.57 and 338.82 is: 507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 918.57 = 338.82 : x
  2. Step 2: Convert to fraction form
    612.72/918.57 = 338.82/x
  3. Step 3: Cross multiply
    612.72x = 918.57 × 338.82
  4. Step 4: Simplify right side
    612.72x = 311,229.89
  5. Step 5: Solve for x
    x = 311,229.89/612.72
  6. Step 6: Final answer
    x = 507.95

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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.