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Finding the Fourth Proportional to 1,279.88, 1,921.20 and 631.98

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Solution

The fourth proportional to 1,279.88, 1,921.20 and 631.98 is: 948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.88 : 1,921.20 = 631.98 : x
  2. Step 2: Convert to fraction form
    1,279.88/1,921.20 = 631.98/x
  3. Step 3: Cross multiply
    1,279.88x = 1,921.20 × 631.98
  4. Step 4: Simplify right side
    1,279.88x = 1,214,159.98
  5. Step 5: Solve for x
    x = 1,214,159.98/1,279.88
  6. Step 6: Final answer
    x = 948.66

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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.