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Finding the Fourth Proportional to 665.62, 997.57 and 341.10

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Solution

The fourth proportional to 665.62, 997.57 and 341.10 is: 511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.62 : 997.57 = 341.10 : x
  2. Step 2: Convert to fraction form
    665.62/997.57 = 341.10/x
  3. Step 3: Cross multiply
    665.62x = 997.57 × 341.10
  4. Step 4: Simplify right side
    665.62x = 340,271.13
  5. Step 5: Solve for x
    x = 340,271.13/665.62
  6. Step 6: Final answer
    x = 511.21

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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.