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Finding the Fourth Proportional to 857.67, 1,285.66 and 532.86

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Solution

The fourth proportional to 857.67, 1,285.66 and 532.86 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,285.66 = 532.86 : x
  2. Step 2: Convert to fraction form
    857.67/1,285.66 = 532.86/x
  3. Step 3: Cross multiply
    857.67x = 1,285.66 × 532.86
  4. Step 4: Simplify right side
    857.67x = 685,076.79
  5. Step 5: Solve for x
    x = 685,076.79/857.67
  6. Step 6: Final answer
    x = 798.77

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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.