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Finding the Fourth Proportional to 665.39, 997.18 and 340.08

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Solution

The fourth proportional to 665.39, 997.18 and 340.08 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.39 : 997.18 = 340.08 : x
  2. Step 2: Convert to fraction form
    665.39/997.18 = 340.08/x
  3. Step 3: Cross multiply
    665.39x = 997.18 × 340.08
  4. Step 4: Simplify right side
    665.39x = 339,114.29
  5. Step 5: Solve for x
    x = 339,114.29/665.39
  6. Step 6: Final answer
    x = 509.65

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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.