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Finding the Fourth Proportional to 647.63, 893.72 and 382.08

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Solution

The fourth proportional to 647.63, 893.72 and 382.08 is: 527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.63 : 893.72 = 382.08 : x
  2. Step 2: Convert to fraction form
    647.63/893.72 = 382.08/x
  3. Step 3: Cross multiply
    647.63x = 893.72 × 382.08
  4. Step 4: Simplify right side
    647.63x = 341,470.63
  5. Step 5: Solve for x
    x = 341,470.63/647.63
  6. Step 6: Final answer
    x = 527.27

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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.