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Finding the Fourth Proportional to 953.90, 1,317.65 and 768.09

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Solution

The fourth proportional to 953.90, 1,317.65 and 768.09 is: 1,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.90 : 1,317.65 = 768.09 : x
  2. Step 2: Convert to fraction form
    953.90/1,317.65 = 768.09/x
  3. Step 3: Cross multiply
    953.90x = 1,317.65 × 768.09
  4. Step 4: Simplify right side
    953.90x = 1,012,069.95
  5. Step 5: Solve for x
    x = 1,012,069.95/953.90
  6. Step 6: Final answer
    x = 1,060.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.