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Finding the Fourth Proportional to 462.84, 639.21 and 365.32

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Solution

The fourth proportional to 462.84, 639.21 and 365.32 is: 504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 639.21 = 365.32 : x
  2. Step 2: Convert to fraction form
    462.84/639.21 = 365.32/x
  3. Step 3: Cross multiply
    462.84x = 639.21 × 365.32
  4. Step 4: Simplify right side
    462.84x = 233,516.20
  5. Step 5: Solve for x
    x = 233,516.20/462.84
  6. Step 6: Final answer
    x = 504.53

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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.