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Finding the Fourth Proportional to 698.18, 963.81 and 511.68

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Solution

The fourth proportional to 698.18, 963.81 and 511.68 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.18 : 963.81 = 511.68 : x
  2. Step 2: Convert to fraction form
    698.18/963.81 = 511.68/x
  3. Step 3: Cross multiply
    698.18x = 963.81 × 511.68
  4. Step 4: Simplify right side
    698.18x = 493,159.74
  5. Step 5: Solve for x
    x = 493,159.74/698.18
  6. Step 6: Final answer
    x = 706.35

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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.