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Finding the Fourth Proportional to 714.24, 986.88 and 610.56

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Solution

The fourth proportional to 714.24, 986.88 and 610.56 is: 843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.24 : 986.88 = 610.56 : x
  2. Step 2: Convert to fraction form
    714.24/986.88 = 610.56/x
  3. Step 3: Cross multiply
    714.24x = 986.88 × 610.56
  4. Step 4: Simplify right side
    714.24x = 602,549.45
  5. Step 5: Solve for x
    x = 602,549.45/714.24
  6. Step 6: Final answer
    x = 843.62

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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.