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Finding the Fourth Proportional to 1,153.40, 1,729.26 and 667.40

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Solution

The fourth proportional to 1,153.40, 1,729.26 and 667.40 is: 1,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.40 : 1,729.26 = 667.40 : x
  2. Step 2: Convert to fraction form
    1,153.40/1,729.26 = 667.40/x
  3. Step 3: Cross multiply
    1,153.40x = 1,729.26 × 667.40
  4. Step 4: Simplify right side
    1,153.40x = 1,154,108.12
  5. Step 5: Solve for x
    x = 1,154,108.12/1,153.40
  6. Step 6: Final answer
    x = 1,000.61

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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.