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Finding the Fourth Proportional to 699.50, 965.00 and 450.74

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Solution

The fourth proportional to 699.50, 965.00 and 450.74 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.50 : 965.00 = 450.74 : x
  2. Step 2: Convert to fraction form
    699.50/965.00 = 450.74/x
  3. Step 3: Cross multiply
    699.50x = 965.00 × 450.74
  4. Step 4: Simplify right side
    699.50x = 434,967.64
  5. Step 5: Solve for x
    x = 434,967.64/699.50
  6. Step 6: Final answer
    x = 621.82

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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.