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Finding the Fourth Proportional to 1,234.98, 1,704.30 and 675.48

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Solution

The fourth proportional to 1,234.98, 1,704.30 and 675.48 is: 932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.98 : 1,704.30 = 675.48 : x
  2. Step 2: Convert to fraction form
    1,234.98/1,704.30 = 675.48/x
  3. Step 3: Cross multiply
    1,234.98x = 1,704.30 × 675.48
  4. Step 4: Simplify right side
    1,234.98x = 1,151,220.56
  5. Step 5: Solve for x
    x = 1,151,220.56/1,234.98
  6. Step 6: Final answer
    x = 932.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.