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Finding the Fourth Proportional to 698.35, 964.01 and 449.99

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Solution

The fourth proportional to 698.35, 964.01 and 449.99 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.35 : 964.01 = 449.99 : x
  2. Step 2: Convert to fraction form
    698.35/964.01 = 449.99/x
  3. Step 3: Cross multiply
    698.35x = 964.01 × 449.99
  4. Step 4: Simplify right side
    698.35x = 433,787.79
  5. Step 5: Solve for x
    x = 433,787.79/698.35
  6. Step 6: Final answer
    x = 621.16

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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.