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Finding the Fourth Proportional to 1,102.62, 1,652.37 and 858.06

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Solution

The fourth proportional to 1,102.62, 1,652.37 and 858.06 is: 1,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.62 : 1,652.37 = 858.06 : x
  2. Step 2: Convert to fraction form
    1,102.62/1,652.37 = 858.06/x
  3. Step 3: Cross multiply
    1,102.62x = 1,652.37 × 858.06
  4. Step 4: Simplify right side
    1,102.62x = 1,417,832.60
  5. Step 5: Solve for x
    x = 1,417,832.60/1,102.62
  6. Step 6: Final answer
    x = 1,285.88

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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.