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Finding the Fourth Proportional to 857.49, 1,286.43 and 446.59

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Solution

The fourth proportional to 857.49, 1,286.43 and 446.59 is: 669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,286.43 = 446.59 : x
  2. Step 2: Convert to fraction form
    857.49/1,286.43 = 446.59/x
  3. Step 3: Cross multiply
    857.49x = 1,286.43 × 446.59
  4. Step 4: Simplify right side
    857.49x = 574,506.77
  5. Step 5: Solve for x
    x = 574,506.77/857.49
  6. Step 6: Final answer
    x = 669.99

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Double scale
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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.