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Finding the Fourth Proportional to 463.02, 638.63 and 433.52

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Solution

The fourth proportional to 463.02, 638.63 and 433.52 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.63 = 433.52 : x
  2. Step 2: Convert to fraction form
    463.02/638.63 = 433.52/x
  3. Step 3: Cross multiply
    463.02x = 638.63 × 433.52
  4. Step 4: Simplify right side
    463.02x = 276,857.54
  5. Step 5: Solve for x
    x = 276,857.54/463.02
  6. Step 6: Final answer
    x = 597.94

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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.