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Finding the Fourth Proportional to 1,202.52, 1,662.30 and 856.20

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Solution

The fourth proportional to 1,202.52, 1,662.30 and 856.20 is: 1,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.52 : 1,662.30 = 856.20 : x
  2. Step 2: Convert to fraction form
    1,202.52/1,662.30 = 856.20/x
  3. Step 3: Cross multiply
    1,202.52x = 1,662.30 × 856.20
  4. Step 4: Simplify right side
    1,202.52x = 1,423,261.26
  5. Step 5: Solve for x
    x = 1,423,261.26/1,202.52
  6. Step 6: Final answer
    x = 1,183.57

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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.