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Finding the Fourth Proportional to 833.07, 1,249.95 and 313.32

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Solution

The fourth proportional to 833.07, 1,249.95 and 313.32 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.07 : 1,249.95 = 313.32 : x
  2. Step 2: Convert to fraction form
    833.07/1,249.95 = 313.32/x
  3. Step 3: Cross multiply
    833.07x = 1,249.95 × 313.32
  4. Step 4: Simplify right side
    833.07x = 391,634.33
  5. Step 5: Solve for x
    x = 391,634.33/833.07
  6. Step 6: Final answer
    x = 470.11

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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.