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Finding the Fourth Proportional to 712.60, 983.27 and 429.03

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Solution

The fourth proportional to 712.60, 983.27 and 429.03 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.27 = 429.03 : x
  2. Step 2: Convert to fraction form
    712.60/983.27 = 429.03/x
  3. Step 3: Cross multiply
    712.60x = 983.27 × 429.03
  4. Step 4: Simplify right side
    712.60x = 421,853.40
  5. Step 5: Solve for x
    x = 421,853.40/712.60
  6. Step 6: Final answer
    x = 591.99

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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.