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Finding the Fourth Proportional to 1,602.81, 2,402.78 and 862.81

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Solution

The fourth proportional to 1,602.81, 2,402.78 and 862.81 is: 1,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.81 : 2,402.78 = 862.81 : x
  2. Step 2: Convert to fraction form
    1,602.81/2,402.78 = 862.81/x
  3. Step 3: Cross multiply
    1,602.81x = 2,402.78 × 862.81
  4. Step 4: Simplify right side
    1,602.81x = 2,073,141.30
  5. Step 5: Solve for x
    x = 2,073,141.30/1,602.81
  6. Step 6: Final answer
    x = 1,293.44

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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.