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Finding the Fourth Proportional to 857.07, 1,182.75 and 464.09

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Solution

The fourth proportional to 857.07, 1,182.75 and 464.09 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,182.75 = 464.09 : x
  2. Step 2: Convert to fraction form
    857.07/1,182.75 = 464.09/x
  3. Step 3: Cross multiply
    857.07x = 1,182.75 × 464.09
  4. Step 4: Simplify right side
    857.07x = 548,905.72
  5. Step 5: Solve for x
    x = 548,905.72/857.07
  6. Step 6: Final answer
    x = 640.45

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1.5x scale

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.