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Finding the Fourth Proportional to 463.56, 639.56 and 297.47

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Solution

The fourth proportional to 463.56, 639.56 and 297.47 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 639.56 = 297.47 : x
  2. Step 2: Convert to fraction form
    463.56/639.56 = 297.47/x
  3. Step 3: Cross multiply
    463.56x = 639.56 × 297.47
  4. Step 4: Simplify right side
    463.56x = 190,252.26
  5. Step 5: Solve for x
    x = 190,252.26/463.56
  6. Step 6: Final answer
    x = 410.42

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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.