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Finding the Fourth Proportional to 1,772.85, 2,659.40 and 602.38

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Solution

The fourth proportional to 1,772.85, 2,659.40 and 602.38 is: 903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.85 : 2,659.40 = 602.38 : x
  2. Step 2: Convert to fraction form
    1,772.85/2,659.40 = 602.38/x
  3. Step 3: Cross multiply
    1,772.85x = 2,659.40 × 602.38
  4. Step 4: Simplify right side
    1,772.85x = 1,601,964.23
  5. Step 5: Solve for x
    x = 1,601,964.23/1,772.85
  6. Step 6: Final answer
    x = 903.61

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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.