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Finding the Fourth Proportional to 857.76, 1,285.56 and 423.96

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Solution

The fourth proportional to 857.76, 1,285.56 and 423.96 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,285.56 = 423.96 : x
  2. Step 2: Convert to fraction form
    857.76/1,285.56 = 423.96/x
  3. Step 3: Cross multiply
    857.76x = 1,285.56 × 423.96
  4. Step 4: Simplify right side
    857.76x = 545,026.02
  5. Step 5: Solve for x
    x = 545,026.02/857.76
  6. Step 6: Final answer
    x = 635.41

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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.