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Finding the Fourth Proportional to 714.11, 989.27 and 697.10

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Solution

The fourth proportional to 714.11, 989.27 and 697.10 is: 965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 989.27 = 697.10 : x
  2. Step 2: Convert to fraction form
    714.11/989.27 = 697.10/x
  3. Step 3: Cross multiply
    714.11x = 989.27 × 697.10
  4. Step 4: Simplify right side
    714.11x = 689,611.69
  5. Step 5: Solve for x
    x = 689,611.69/714.11
  6. Step 6: Final answer
    x = 965.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.