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Finding the Fourth Proportional to 699.02, 965.29 and 450.77

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Solution

The fourth proportional to 699.02, 965.29 and 450.77 is: 622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.02 : 965.29 = 450.77 : x
  2. Step 2: Convert to fraction form
    699.02/965.29 = 450.77/x
  3. Step 3: Cross multiply
    699.02x = 965.29 × 450.77
  4. Step 4: Simplify right side
    699.02x = 435,116.69
  5. Step 5: Solve for x
    x = 435,116.69/699.02
  6. Step 6: Final answer
    x = 622.47

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Double scale
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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.