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Finding the Fourth Proportional to 833.02, 1,249.35 and 313

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Solution

The fourth proportional to 833.02, 1,249.35 and 313 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.02 : 1,249.35 = 313 : x
  2. Step 2: Convert to fraction form
    833.02/1,249.35 = 313/x
  3. Step 3: Cross multiply
    833.02x = 1,249.35 × 313
  4. Step 4: Simplify right side
    833.02x = 391,046.55
  5. Step 5: Solve for x
    x = 391,046.55/833.02
  6. Step 6: Final answer
    x = 469.43

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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.