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Finding the Fourth Proportional to 714.09, 991.22 and 696.81

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Solution

The fourth proportional to 714.09, 991.22 and 696.81 is: 967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.09 : 991.22 = 696.81 : x
  2. Step 2: Convert to fraction form
    714.09/991.22 = 696.81/x
  3. Step 3: Cross multiply
    714.09x = 991.22 × 696.81
  4. Step 4: Simplify right side
    714.09x = 690,693.75
  5. Step 5: Solve for x
    x = 690,693.75/714.09
  6. Step 6: Final answer
    x = 967.24

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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.