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Finding the Fourth Proportional to 955.65, 1,435.17 and 782.64

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Solution

The fourth proportional to 955.65, 1,435.17 and 782.64 is: 1,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.65 : 1,435.17 = 782.64 : x
  2. Step 2: Convert to fraction form
    955.65/1,435.17 = 782.64/x
  3. Step 3: Cross multiply
    955.65x = 1,435.17 × 782.64
  4. Step 4: Simplify right side
    955.65x = 1,123,229.77
  5. Step 5: Solve for x
    x = 1,123,229.77/955.65
  6. Step 6: Final answer
    x = 1,175.36

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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.