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Finding the Fourth Proportional to 833.19, 1,249.78 and 256.07

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Solution

The fourth proportional to 833.19, 1,249.78 and 256.07 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.19 : 1,249.78 = 256.07 : x
  2. Step 2: Convert to fraction form
    833.19/1,249.78 = 256.07/x
  3. Step 3: Cross multiply
    833.19x = 1,249.78 × 256.07
  4. Step 4: Simplify right side
    833.19x = 320,024.92
  5. Step 5: Solve for x
    x = 320,024.92/833.19
  6. Step 6: Final answer
    x = 384.10

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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.