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Finding the Fourth Proportional to 699.11, 964.13 and 477.67

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Solution

The fourth proportional to 699.11, 964.13 and 477.67 is: 658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.11 : 964.13 = 477.67 : x
  2. Step 2: Convert to fraction form
    699.11/964.13 = 477.67/x
  3. Step 3: Cross multiply
    699.11x = 964.13 × 477.67
  4. Step 4: Simplify right side
    699.11x = 460,535.98
  5. Step 5: Solve for x
    x = 460,535.98/699.11
  6. Step 6: Final answer
    x = 658.75

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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.