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Finding the Fourth Proportional to 833.47, 1,250.32 and 285.51

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Solution

The fourth proportional to 833.47, 1,250.32 and 285.51 is: 428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.47 : 1,250.32 = 285.51 : x
  2. Step 2: Convert to fraction form
    833.47/1,250.32 = 285.51/x
  3. Step 3: Cross multiply
    833.47x = 1,250.32 × 285.51
  4. Step 4: Simplify right side
    833.47x = 356,978.86
  5. Step 5: Solve for x
    x = 356,978.86/833.47
  6. Step 6: Final answer
    x = 428.30

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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.