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Finding the Fourth Proportional to 857.06, 1,182.68 and 484.05

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Solution

The fourth proportional to 857.06, 1,182.68 and 484.05 is: 667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.06 : 1,182.68 = 484.05 : x
  2. Step 2: Convert to fraction form
    857.06/1,182.68 = 484.05/x
  3. Step 3: Cross multiply
    857.06x = 1,182.68 × 484.05
  4. Step 4: Simplify right side
    857.06x = 572,475.65
  5. Step 5: Solve for x
    x = 572,475.65/857.06
  6. Step 6: Final answer
    x = 667.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.