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Finding the Fourth Proportional to 1,153.11, 1,729.31 and 459.59

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Solution

The fourth proportional to 1,153.11, 1,729.31 and 459.59 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.11 : 1,729.31 = 459.59 : x
  2. Step 2: Convert to fraction form
    1,153.11/1,729.31 = 459.59/x
  3. Step 3: Cross multiply
    1,153.11x = 1,729.31 × 459.59
  4. Step 4: Simplify right side
    1,153.11x = 794,762.64
  5. Step 5: Solve for x
    x = 794,762.64/1,153.11
  6. Step 6: Final answer
    x = 689.23

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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.