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Finding the Fourth Proportional to 463.37, 639.52 and 284.03

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Solution

The fourth proportional to 463.37, 639.52 and 284.03 is: 392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 639.52 = 284.03 : x
  2. Step 2: Convert to fraction form
    463.37/639.52 = 284.03/x
  3. Step 3: Cross multiply
    463.37x = 639.52 × 284.03
  4. Step 4: Simplify right side
    463.37x = 181,639.67
  5. Step 5: Solve for x
    x = 181,639.67/463.37
  6. Step 6: Final answer
    x = 392.00

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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.