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Finding the Fourth Proportional to 665.45, 997.56 and 340.10

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Solution

The fourth proportional to 665.45, 997.56 and 340.10 is: 509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.45 : 997.56 = 340.10 : x
  2. Step 2: Convert to fraction form
    665.45/997.56 = 340.10/x
  3. Step 3: Cross multiply
    665.45x = 997.56 × 340.10
  4. Step 4: Simplify right side
    665.45x = 339,270.16
  5. Step 5: Solve for x
    x = 339,270.16/665.45
  6. Step 6: Final answer
    x = 509.84

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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.