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Finding the Fourth Proportional to 698.11, 962.75 and 476.67

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Solution

The fourth proportional to 698.11, 962.75 and 476.67 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.11 : 962.75 = 476.67 : x
  2. Step 2: Convert to fraction form
    698.11/962.75 = 476.67/x
  3. Step 3: Cross multiply
    698.11x = 962.75 × 476.67
  4. Step 4: Simplify right side
    698.11x = 458,914.04
  5. Step 5: Solve for x
    x = 458,914.04/698.11
  6. Step 6: Final answer
    x = 657.37

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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.