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Finding the Fourth Proportional to 810.21, 1,206.26 and 798.68

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Solution

The fourth proportional to 810.21, 1,206.26 and 798.68 is: 1,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.21 : 1,206.26 = 798.68 : x
  2. Step 2: Convert to fraction form
    810.21/1,206.26 = 798.68/x
  3. Step 3: Cross multiply
    810.21x = 1,206.26 × 798.68
  4. Step 4: Simplify right side
    810.21x = 963,405.71
  5. Step 5: Solve for x
    x = 963,405.71/810.21
  6. Step 6: Final answer
    x = 1,189.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.