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Finding the Fourth Proportional to 712.97, 983.81 and 402.47

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Solution

The fourth proportional to 712.97, 983.81 and 402.47 is: 555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.97 : 983.81 = 402.47 : x
  2. Step 2: Convert to fraction form
    712.97/983.81 = 402.47/x
  3. Step 3: Cross multiply
    712.97x = 983.81 × 402.47
  4. Step 4: Simplify right side
    712.97x = 395,947.08
  5. Step 5: Solve for x
    x = 395,947.08/712.97
  6. Step 6: Final answer
    x = 555.35

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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.