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Finding the Fourth Proportional to 1,175.34, 1,763.03 and 309.66

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Solution

The fourth proportional to 1,175.34, 1,763.03 and 309.66 is: 464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.34 : 1,763.03 = 309.66 : x
  2. Step 2: Convert to fraction form
    1,175.34/1,763.03 = 309.66/x
  3. Step 3: Cross multiply
    1,175.34x = 1,763.03 × 309.66
  4. Step 4: Simplify right side
    1,175.34x = 545,938.32
  5. Step 5: Solve for x
    x = 545,938.32/1,175.34
  6. Step 6: Final answer
    x = 464.49

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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.