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Finding the Fourth Proportional to 713.16, 983.81 and 547.09

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Solution

The fourth proportional to 713.16, 983.81 and 547.09 is: 754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 983.81 = 547.09 : x
  2. Step 2: Convert to fraction form
    713.16/983.81 = 547.09/x
  3. Step 3: Cross multiply
    713.16x = 983.81 × 547.09
  4. Step 4: Simplify right side
    713.16x = 538,232.61
  5. Step 5: Solve for x
    x = 538,232.61/713.16
  6. Step 6: Final answer
    x = 754.72

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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.