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Finding the Fourth Proportional to 463.69, 639.86 and 264.53

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Solution

The fourth proportional to 463.69, 639.86 and 264.53 is: 365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 639.86 = 264.53 : x
  2. Step 2: Convert to fraction form
    463.69/639.86 = 264.53/x
  3. Step 3: Cross multiply
    463.69x = 639.86 × 264.53
  4. Step 4: Simplify right side
    463.69x = 169,258.84
  5. Step 5: Solve for x
    x = 169,258.84/463.69
  6. Step 6: Final answer
    x = 365.02

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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.