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Finding the Fourth Proportional to 714.85, 990.32 and 697.84

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Solution

The fourth proportional to 714.85, 990.32 and 697.84 is: 966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.85 : 990.32 = 697.84 : x
  2. Step 2: Convert to fraction form
    714.85/990.32 = 697.84/x
  3. Step 3: Cross multiply
    714.85x = 990.32 × 697.84
  4. Step 4: Simplify right side
    714.85x = 691,078.94
  5. Step 5: Solve for x
    x = 691,078.94/714.85
  6. Step 6: Final answer
    x = 966.75

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1.5x scale

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.