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Finding the Fourth Proportional to 833.58, 1,250.56 and 256.44

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Solution

The fourth proportional to 833.58, 1,250.56 and 256.44 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.58 : 1,250.56 = 256.44 : x
  2. Step 2: Convert to fraction form
    833.58/1,250.56 = 256.44/x
  3. Step 3: Cross multiply
    833.58x = 1,250.56 × 256.44
  4. Step 4: Simplify right side
    833.58x = 320,693.61
  5. Step 5: Solve for x
    x = 320,693.61/833.58
  6. Step 6: Final answer
    x = 384.72

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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.