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Finding the Fourth Proportional to 712.53, 983.07 and 492.03

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Solution

The fourth proportional to 712.53, 983.07 and 492.03 is: 678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 983.07 = 492.03 : x
  2. Step 2: Convert to fraction form
    712.53/983.07 = 492.03/x
  3. Step 3: Cross multiply
    712.53x = 983.07 × 492.03
  4. Step 4: Simplify right side
    712.53x = 483,699.93
  5. Step 5: Solve for x
    x = 483,699.93/712.53
  6. Step 6: Final answer
    x = 678.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.