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Finding the Fourth Proportional to 996.76, 1,375.84 and 810.10

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Solution

The fourth proportional to 996.76, 1,375.84 and 810.10 is: 1,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.76 : 1,375.84 = 810.10 : x
  2. Step 2: Convert to fraction form
    996.76/1,375.84 = 810.10/x
  3. Step 3: Cross multiply
    996.76x = 1,375.84 × 810.10
  4. Step 4: Simplify right side
    996.76x = 1,114,566.16
  5. Step 5: Solve for x
    x = 1,114,566.16/996.76
  6. Step 6: Final answer
    x = 1,118.19

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1.5x scale

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.