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Finding the Fourth Proportional to 1,175.59, 1,763.40 and 309.91

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Solution

The fourth proportional to 1,175.59, 1,763.40 and 309.91 is: 464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.59 : 1,763.40 = 309.91 : x
  2. Step 2: Convert to fraction form
    1,175.59/1,763.40 = 309.91/x
  3. Step 3: Cross multiply
    1,175.59x = 1,763.40 × 309.91
  4. Step 4: Simplify right side
    1,175.59x = 546,495.29
  5. Step 5: Solve for x
    x = 546,495.29/1,175.59
  6. Step 6: Final answer
    x = 464.87

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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.