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Finding the Fourth Proportional to 811.02, 1,118.67 and 749.50

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Solution

The fourth proportional to 811.02, 1,118.67 and 749.50 is: 1,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,118.67 = 749.50 : x
  2. Step 2: Convert to fraction form
    811.02/1,118.67 = 749.50/x
  3. Step 3: Cross multiply
    811.02x = 1,118.67 × 749.50
  4. Step 4: Simplify right side
    811.02x = 838,443.17
  5. Step 5: Solve for x
    x = 838,443.17/811.02
  6. Step 6: Final answer
    x = 1,033.81

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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.