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Finding the Fourth Proportional to 1,175.66, 1,763.29 and 435.62

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Solution

The fourth proportional to 1,175.66, 1,763.29 and 435.62 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.66 : 1,763.29 = 435.62 : x
  2. Step 2: Convert to fraction form
    1,175.66/1,763.29 = 435.62/x
  3. Step 3: Cross multiply
    1,175.66x = 1,763.29 × 435.62
  4. Step 4: Simplify right side
    1,175.66x = 768,116.12
  5. Step 5: Solve for x
    x = 768,116.12/1,175.66
  6. Step 6: Final answer
    x = 653.35

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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.