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Finding the Fourth Proportional to 832.77, 1,249.71 and 345.82

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Solution

The fourth proportional to 832.77, 1,249.71 and 345.82 is: 518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.77 : 1,249.71 = 345.82 : x
  2. Step 2: Convert to fraction form
    832.77/1,249.71 = 345.82/x
  3. Step 3: Cross multiply
    832.77x = 1,249.71 × 345.82
  4. Step 4: Simplify right side
    832.77x = 432,174.71
  5. Step 5: Solve for x
    x = 432,174.71/832.77
  6. Step 6: Final answer
    x = 518.96

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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.