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Finding the Fourth Proportional to 1,153.69, 1,730.35 and 331.78

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Solution

The fourth proportional to 1,153.69, 1,730.35 and 331.78 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.69 : 1,730.35 = 331.78 : x
  2. Step 2: Convert to fraction form
    1,153.69/1,730.35 = 331.78/x
  3. Step 3: Cross multiply
    1,153.69x = 1,730.35 × 331.78
  4. Step 4: Simplify right side
    1,153.69x = 574,101.69
  5. Step 5: Solve for x
    x = 574,101.69/1,153.69
  6. Step 6: Final answer
    x = 497.62

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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.