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Finding the Fourth Proportional to 699.40, 964.51 and 459.71

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Solution

The fourth proportional to 699.40, 964.51 and 459.71 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.40 : 964.51 = 459.71 : x
  2. Step 2: Convert to fraction form
    699.40/964.51 = 459.71/x
  3. Step 3: Cross multiply
    699.40x = 964.51 × 459.71
  4. Step 4: Simplify right side
    699.40x = 443,388.92
  5. Step 5: Solve for x
    x = 443,388.92/699.40
  6. Step 6: Final answer
    x = 633.96

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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.