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Finding the Fourth Proportional to 1,243.34, 1,865.02 and 593.72

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Solution

The fourth proportional to 1,243.34, 1,865.02 and 593.72 is: 890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.34 : 1,865.02 = 593.72 : x
  2. Step 2: Convert to fraction form
    1,243.34/1,865.02 = 593.72/x
  3. Step 3: Cross multiply
    1,243.34x = 1,865.02 × 593.72
  4. Step 4: Simplify right side
    1,243.34x = 1,107,299.67
  5. Step 5: Solve for x
    x = 1,107,299.67/1,243.34
  6. Step 6: Final answer
    x = 890.58

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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.