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Finding the Fourth Proportional to 712.83, 983.70 and 402.33

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Solution

The fourth proportional to 712.83, 983.70 and 402.33 is: 555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 983.70 = 402.33 : x
  2. Step 2: Convert to fraction form
    712.83/983.70 = 402.33/x
  3. Step 3: Cross multiply
    712.83x = 983.70 × 402.33
  4. Step 4: Simplify right side
    712.83x = 395,771.31
  5. Step 5: Solve for x
    x = 395,771.31/712.83
  6. Step 6: Final answer
    x = 555.21

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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.