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Finding the Fourth Proportional to 699.27, 965.64 and 451.02

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Solution

The fourth proportional to 699.27, 965.64 and 451.02 is: 622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.27 : 965.64 = 451.02 : x
  2. Step 2: Convert to fraction form
    699.27/965.64 = 451.02/x
  3. Step 3: Cross multiply
    699.27x = 965.64 × 451.02
  4. Step 4: Simplify right side
    699.27x = 435,515.87
  5. Step 5: Solve for x
    x = 435,515.87/699.27
  6. Step 6: Final answer
    x = 622.82

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1.5x scale

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.