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Finding the Fourth Proportional to 712.86, 983.70 and 402.42

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Solution

The fourth proportional to 712.86, 983.70 and 402.42 is: 555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 983.70 = 402.42 : x
  2. Step 2: Convert to fraction form
    712.86/983.70 = 402.42/x
  3. Step 3: Cross multiply
    712.86x = 983.70 × 402.42
  4. Step 4: Simplify right side
    712.86x = 395,860.55
  5. Step 5: Solve for x
    x = 395,860.55/712.86
  6. Step 6: Final answer
    x = 555.31

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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.