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Finding the Fourth Proportional to 832.97, 1,249.65 and 312.99

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Solution

The fourth proportional to 832.97, 1,249.65 and 312.99 is: 469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.97 : 1,249.65 = 312.99 : x
  2. Step 2: Convert to fraction form
    832.97/1,249.65 = 312.99/x
  3. Step 3: Cross multiply
    832.97x = 1,249.65 × 312.99
  4. Step 4: Simplify right side
    832.97x = 391,127.95
  5. Step 5: Solve for x
    x = 391,127.95/832.97
  6. Step 6: Final answer
    x = 469.56

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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.