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Finding the Fourth Proportional to 665.64, 918.44 and 382.02

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Solution

The fourth proportional to 665.64, 918.44 and 382.02 is: 527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 918.44 = 382.02 : x
  2. Step 2: Convert to fraction form
    665.64/918.44 = 382.02/x
  3. Step 3: Cross multiply
    665.64x = 918.44 × 382.02
  4. Step 4: Simplify right side
    665.64x = 350,862.45
  5. Step 5: Solve for x
    x = 350,862.45/665.64
  6. Step 6: Final answer
    x = 527.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.