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Finding the Fourth Proportional to 833.65, 1,250.09 and 313.26

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Solution

The fourth proportional to 833.65, 1,250.09 and 313.26 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.65 : 1,250.09 = 313.26 : x
  2. Step 2: Convert to fraction form
    833.65/1,250.09 = 313.26/x
  3. Step 3: Cross multiply
    833.65x = 1,250.09 × 313.26
  4. Step 4: Simplify right side
    833.65x = 391,603.19
  5. Step 5: Solve for x
    x = 391,603.19/833.65
  6. Step 6: Final answer
    x = 469.75

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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.