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Finding the Fourth Proportional to 655.65, 983.28 and 216.83

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Solution

The fourth proportional to 655.65, 983.28 and 216.83 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.65 : 983.28 = 216.83 : x
  2. Step 2: Convert to fraction form
    655.65/983.28 = 216.83/x
  3. Step 3: Cross multiply
    655.65x = 983.28 × 216.83
  4. Step 4: Simplify right side
    655.65x = 213,199.69
  5. Step 5: Solve for x
    x = 213,199.69/655.65
  6. Step 6: Final answer
    x = 325.17

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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.