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Finding the Fourth Proportional to 1,153.75, 1,729.34 and 460.24

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Solution

The fourth proportional to 1,153.75, 1,729.34 and 460.24 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.75 : 1,729.34 = 460.24 : x
  2. Step 2: Convert to fraction form
    1,153.75/1,729.34 = 460.24/x
  3. Step 3: Cross multiply
    1,153.75x = 1,729.34 × 460.24
  4. Step 4: Simplify right side
    1,153.75x = 795,904.82
  5. Step 5: Solve for x
    x = 795,904.82/1,153.75
  6. Step 6: Final answer
    x = 689.84

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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.