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Finding the Fourth Proportional to 1,239.74, 1,859.93 and 546.56

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Solution

The fourth proportional to 1,239.74, 1,859.93 and 546.56 is: 819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.74 : 1,859.93 = 546.56 : x
  2. Step 2: Convert to fraction form
    1,239.74/1,859.93 = 546.56/x
  3. Step 3: Cross multiply
    1,239.74x = 1,859.93 × 546.56
  4. Step 4: Simplify right side
    1,239.74x = 1,016,563.34
  5. Step 5: Solve for x
    x = 1,016,563.34/1,239.74
  6. Step 6: Final answer
    x = 819.98

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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.