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Finding the Fourth Proportional to 1,310.27, 1,808.10 and 720.81

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Solution

The fourth proportional to 1,310.27, 1,808.10 and 720.81 is: 994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.27 : 1,808.10 = 720.81 : x
  2. Step 2: Convert to fraction form
    1,310.27/1,808.10 = 720.81/x
  3. Step 3: Cross multiply
    1,310.27x = 1,808.10 × 720.81
  4. Step 4: Simplify right side
    1,310.27x = 1,303,296.56
  5. Step 5: Solve for x
    x = 1,303,296.56/1,310.27
  6. Step 6: Final answer
    x = 994.68

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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.