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Finding the Fourth Proportional to 698.81, 964.67 and 512.30

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Solution

The fourth proportional to 698.81, 964.67 and 512.30 is: 707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.81 : 964.67 = 512.30 : x
  2. Step 2: Convert to fraction form
    698.81/964.67 = 512.30/x
  3. Step 3: Cross multiply
    698.81x = 964.67 × 512.30
  4. Step 4: Simplify right side
    698.81x = 494,200.44
  5. Step 5: Solve for x
    x = 494,200.44/698.81
  6. Step 6: Final answer
    x = 707.20

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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.