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Finding the Fourth Proportional to 463.13, 638.77 and 369.76

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Solution

The fourth proportional to 463.13, 638.77 and 369.76 is: 509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 638.77 = 369.76 : x
  2. Step 2: Convert to fraction form
    463.13/638.77 = 369.76/x
  3. Step 3: Cross multiply
    463.13x = 638.77 × 369.76
  4. Step 4: Simplify right side
    463.13x = 236,191.60
  5. Step 5: Solve for x
    x = 236,191.60/463.13
  6. Step 6: Final answer
    x = 509.99

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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.