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Finding the Fourth Proportional to 665.92, 999.18 and 409.60

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Solution

The fourth proportional to 665.92, 999.18 and 409.60 is: 614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.92 : 999.18 = 409.60 : x
  2. Step 2: Convert to fraction form
    665.92/999.18 = 409.60/x
  3. Step 3: Cross multiply
    665.92x = 999.18 × 409.60
  4. Step 4: Simplify right side
    665.92x = 409,264.13
  5. Step 5: Solve for x
    x = 409,264.13/665.92
  6. Step 6: Final answer
    x = 614.58

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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.