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Finding the Fourth Proportional to 463.08, 634.88 and 454.89

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Solution

The fourth proportional to 463.08, 634.88 and 454.89 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.08 : 634.88 = 454.89 : x
  2. Step 2: Convert to fraction form
    463.08/634.88 = 454.89/x
  3. Step 3: Cross multiply
    463.08x = 634.88 × 454.89
  4. Step 4: Simplify right side
    463.08x = 288,798.29
  5. Step 5: Solve for x
    x = 288,798.29/463.08
  6. Step 6: Final answer
    x = 623.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.