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Finding the Fourth Proportional to 698.24, 964.42 and 511.44

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Solution

The fourth proportional to 698.24, 964.42 and 511.44 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 964.42 = 511.44 : x
  2. Step 2: Convert to fraction form
    698.24/964.42 = 511.44/x
  3. Step 3: Cross multiply
    698.24x = 964.42 × 511.44
  4. Step 4: Simplify right side
    698.24x = 493,242.96
  5. Step 5: Solve for x
    x = 493,242.96/698.24
  6. Step 6: Final answer
    x = 706.41

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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.