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Finding the Fourth Proportional to 714.38, 986.73 and 616.10

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Solution

The fourth proportional to 714.38, 986.73 and 616.10 is: 850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.38 : 986.73 = 616.10 : x
  2. Step 2: Convert to fraction form
    714.38/986.73 = 616.10/x
  3. Step 3: Cross multiply
    714.38x = 986.73 × 616.10
  4. Step 4: Simplify right side
    714.38x = 607,924.35
  5. Step 5: Solve for x
    x = 607,924.35/714.38
  6. Step 6: Final answer
    x = 850.98

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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.