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Finding the Fourth Proportional to 857.55, 1,184.37 and 764.29

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Solution

The fourth proportional to 857.55, 1,184.37 and 764.29 is: 1,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.55 : 1,184.37 = 764.29 : x
  2. Step 2: Convert to fraction form
    857.55/1,184.37 = 764.29/x
  3. Step 3: Cross multiply
    857.55x = 1,184.37 × 764.29
  4. Step 4: Simplify right side
    857.55x = 905,202.15
  5. Step 5: Solve for x
    x = 905,202.15/857.55
  6. Step 6: Final answer
    x = 1,055.57

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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.