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Finding the Fourth Proportional to 655.82, 985.13 and 412.51

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Solution

The fourth proportional to 655.82, 985.13 and 412.51 is: 619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.82 : 985.13 = 412.51 : x
  2. Step 2: Convert to fraction form
    655.82/985.13 = 412.51/x
  3. Step 3: Cross multiply
    655.82x = 985.13 × 412.51
  4. Step 4: Simplify right side
    655.82x = 406,373.91
  5. Step 5: Solve for x
    x = 406,373.91/655.82
  6. Step 6: Final answer
    x = 619.65

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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.