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Finding the Fourth Proportional to 1,279.88, 1,920.18 and 694.76

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Solution

The fourth proportional to 1,279.88, 1,920.18 and 694.76 is: 1,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.88 : 1,920.18 = 694.76 : x
  2. Step 2: Convert to fraction form
    1,279.88/1,920.18 = 694.76/x
  3. Step 3: Cross multiply
    1,279.88x = 1,920.18 × 694.76
  4. Step 4: Simplify right side
    1,279.88x = 1,334,064.26
  5. Step 5: Solve for x
    x = 1,334,064.26/1,279.88
  6. Step 6: Final answer
    x = 1,042.34

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1.5x scale

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.