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Finding the Fourth Proportional to 1,602.12, 2,399.56 and 860.45

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Solution

The fourth proportional to 1,602.12, 2,399.56 and 860.45 is: 1,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.12 : 2,399.56 = 860.45 : x
  2. Step 2: Convert to fraction form
    1,602.12/2,399.56 = 860.45/x
  3. Step 3: Cross multiply
    1,602.12x = 2,399.56 × 860.45
  4. Step 4: Simplify right side
    1,602.12x = 2,064,687.25
  5. Step 5: Solve for x
    x = 2,064,687.25/1,602.12
  6. Step 6: Final answer
    x = 1,288.72

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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.