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Finding the Fourth Proportional to 714.36, 985.68 and 609.84

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Solution

The fourth proportional to 714.36, 985.68 and 609.84 is: 841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.36 : 985.68 = 609.84 : x
  2. Step 2: Convert to fraction form
    714.36/985.68 = 609.84/x
  3. Step 3: Cross multiply
    714.36x = 985.68 × 609.84
  4. Step 4: Simplify right side
    714.36x = 601,107.09
  5. Step 5: Solve for x
    x = 601,107.09/714.36
  6. Step 6: Final answer
    x = 841.46

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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.