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Finding the Fourth Proportional to 714.88, 986.16 and 482.08

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Solution

The fourth proportional to 714.88, 986.16 and 482.08 is: 665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 986.16 = 482.08 : x
  2. Step 2: Convert to fraction form
    714.88/986.16 = 482.08/x
  3. Step 3: Cross multiply
    714.88x = 986.16 × 482.08
  4. Step 4: Simplify right side
    714.88x = 475,408.01
  5. Step 5: Solve for x
    x = 475,408.01/714.88
  6. Step 6: Final answer
    x = 665.02

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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.