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Finding the Fourth Proportional to 850.95, 1,176.26 and 782.91

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Solution

The fourth proportional to 850.95, 1,176.26 and 782.91 is: 1,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.95 : 1,176.26 = 782.91 : x
  2. Step 2: Convert to fraction form
    850.95/1,176.26 = 782.91/x
  3. Step 3: Cross multiply
    850.95x = 1,176.26 × 782.91
  4. Step 4: Simplify right side
    850.95x = 920,901.80
  5. Step 5: Solve for x
    x = 920,901.80/850.95
  6. Step 6: Final answer
    x = 1,082.20

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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.