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Finding the Fourth Proportional to 475.20, 708.75 and 466.99

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Solution

The fourth proportional to 475.20, 708.75 and 466.99 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 708.75 = 466.99 : x
  2. Step 2: Convert to fraction form
    475.20/708.75 = 466.99/x
  3. Step 3: Cross multiply
    475.20x = 708.75 × 466.99
  4. Step 4: Simplify right side
    475.20x = 330,977.39
  5. Step 5: Solve for x
    x = 330,977.39/475.20
  6. Step 6: Final answer
    x = 696.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.