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Finding the Fourth Proportional to 463.12, 637.40 and 369.56

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Solution

The fourth proportional to 463.12, 637.40 and 369.56 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 637.40 = 369.56 : x
  2. Step 2: Convert to fraction form
    463.12/637.40 = 369.56/x
  3. Step 3: Cross multiply
    463.12x = 637.40 × 369.56
  4. Step 4: Simplify right side
    463.12x = 235,560.06
  5. Step 5: Solve for x
    x = 235,560.06/463.12
  6. Step 6: Final answer
    x = 508.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.