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Finding the Fourth Proportional to 833.59, 1,250.42 and 256.47

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Solution

The fourth proportional to 833.59, 1,250.42 and 256.47 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.59 : 1,250.42 = 256.47 : x
  2. Step 2: Convert to fraction form
    833.59/1,250.42 = 256.47/x
  3. Step 3: Cross multiply
    833.59x = 1,250.42 × 256.47
  4. Step 4: Simplify right side
    833.59x = 320,695.22
  5. Step 5: Solve for x
    x = 320,695.22/833.59
  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.