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Finding the Fourth Proportional to 661.25, 989.69 and 475.65

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Solution

The fourth proportional to 661.25, 989.69 and 475.65 is: 711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.25 : 989.69 = 475.65 : x
  2. Step 2: Convert to fraction form
    661.25/989.69 = 475.65/x
  3. Step 3: Cross multiply
    661.25x = 989.69 × 475.65
  4. Step 4: Simplify right side
    661.25x = 470,743.67
  5. Step 5: Solve for x
    x = 470,743.67/661.25
  6. Step 6: Final answer
    x = 711.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.