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Finding the Fourth Proportional to 712.88, 983.77 and 402.44

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Solution

The fourth proportional to 712.88, 983.77 and 402.44 is: 555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 983.77 = 402.44 : x
  2. Step 2: Convert to fraction form
    712.88/983.77 = 402.44/x
  3. Step 3: Cross multiply
    712.88x = 983.77 × 402.44
  4. Step 4: Simplify right side
    712.88x = 395,902.47
  5. Step 5: Solve for x
    x = 395,902.47/712.88
  6. Step 6: Final answer
    x = 555.36

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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.