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Finding the Fourth Proportional to 712.60, 983.38 and 402.10

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Solution

The fourth proportional to 712.60, 983.38 and 402.10 is: 554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.38 = 402.10 : x
  2. Step 2: Convert to fraction form
    712.60/983.38 = 402.10/x
  3. Step 3: Cross multiply
    712.60x = 983.38 × 402.10
  4. Step 4: Simplify right side
    712.60x = 395,413.63
  5. Step 5: Solve for x
    x = 395,413.63/712.60
  6. Step 6: Final answer
    x = 554.89

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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.