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Finding the Fourth Proportional to 1,153.85, 1,729.70 and 639.77

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Solution

The fourth proportional to 1,153.85, 1,729.70 and 639.77 is: 959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.85 : 1,729.70 = 639.77 : x
  2. Step 2: Convert to fraction form
    1,153.85/1,729.70 = 639.77/x
  3. Step 3: Cross multiply
    1,153.85x = 1,729.70 × 639.77
  4. Step 4: Simplify right side
    1,153.85x = 1,106,613.69
  5. Step 5: Solve for x
    x = 1,106,613.69/1,153.85
  6. Step 6: Final answer
    x = 959.06

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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.