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Finding the Fourth Proportional to 687.70, 948.88 and 408.04

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Solution

The fourth proportional to 687.70, 948.88 and 408.04 is: 563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.70 : 948.88 = 408.04 : x
  2. Step 2: Convert to fraction form
    687.70/948.88 = 408.04/x
  3. Step 3: Cross multiply
    687.70x = 948.88 × 408.04
  4. Step 4: Simplify right side
    687.70x = 387,179.13
  5. Step 5: Solve for x
    x = 387,179.13/687.70
  6. Step 6: Final answer
    x = 563.00

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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.