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Finding the Fourth Proportional to 857.66, 1,286.61 and 446.84

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Solution

The fourth proportional to 857.66, 1,286.61 and 446.84 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.66 : 1,286.61 = 446.84 : x
  2. Step 2: Convert to fraction form
    857.66/1,286.61 = 446.84/x
  3. Step 3: Cross multiply
    857.66x = 1,286.61 × 446.84
  4. Step 4: Simplify right side
    857.66x = 574,908.81
  5. Step 5: Solve for x
    x = 574,908.81/857.66
  6. Step 6: Final answer
    x = 670.32

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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.