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Finding the Fourth Proportional to 833.28, 1,249.12 and 617.28

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Solution

The fourth proportional to 833.28, 1,249.12 and 617.28 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.28 : 1,249.12 = 617.28 : x
  2. Step 2: Convert to fraction form
    833.28/1,249.12 = 617.28/x
  3. Step 3: Cross multiply
    833.28x = 1,249.12 × 617.28
  4. Step 4: Simplify right side
    833.28x = 771,056.79
  5. Step 5: Solve for x
    x = 771,056.79/833.28
  6. Step 6: Final answer
    x = 925.33

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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.