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Finding the Fourth Proportional to 857.38, 1,285.82 and 446.30

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Solution

The fourth proportional to 857.38, 1,285.82 and 446.30 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,285.82 = 446.30 : x
  2. Step 2: Convert to fraction form
    857.38/1,285.82 = 446.30/x
  3. Step 3: Cross multiply
    857.38x = 1,285.82 × 446.30
  4. Step 4: Simplify right side
    857.38x = 573,861.47
  5. Step 5: Solve for x
    x = 573,861.47/857.38
  6. Step 6: Final answer
    x = 669.32

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1.5x scale

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.