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Finding the Fourth Proportional to 857.30, 1,286.37 and 446.63

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Solution

The fourth proportional to 857.30, 1,286.37 and 446.63 is: 670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.30 : 1,286.37 = 446.63 : x
  2. Step 2: Convert to fraction form
    857.30/1,286.37 = 446.63/x
  3. Step 3: Cross multiply
    857.30x = 1,286.37 × 446.63
  4. Step 4: Simplify right side
    857.30x = 574,525.00
  5. Step 5: Solve for x
    x = 574,525.00/857.30
  6. Step 6: Final answer
    x = 670.16

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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.