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Finding the Fourth Proportional to 712.75, 983.64 and 402.27

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Solution

The fourth proportional to 712.75, 983.64 and 402.27 is: 555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 983.64 = 402.27 : x
  2. Step 2: Convert to fraction form
    712.75/983.64 = 402.27/x
  3. Step 3: Cross multiply
    712.75x = 983.64 × 402.27
  4. Step 4: Simplify right side
    712.75x = 395,688.86
  5. Step 5: Solve for x
    x = 395,688.86/712.75
  6. Step 6: Final answer
    x = 555.16

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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.