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Finding the Fourth Proportional to 857.76, 1,285.42 and 466.91

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Solution

The fourth proportional to 857.76, 1,285.42 and 466.91 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.76 : 1,285.42 = 466.91 : x
  2. Step 2: Convert to fraction form
    857.76/1,285.42 = 466.91/x
  3. Step 3: Cross multiply
    857.76x = 1,285.42 × 466.91
  4. Step 4: Simplify right side
    857.76x = 600,180.78
  5. Step 5: Solve for x
    x = 600,180.78/857.76
  6. Step 6: Final answer
    x = 699.70

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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.