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Finding the Fourth Proportional to 811.98, 1,119.66 and 634.59

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Solution

The fourth proportional to 811.98, 1,119.66 and 634.59 is: 875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.98 : 1,119.66 = 634.59 : x
  2. Step 2: Convert to fraction form
    811.98/1,119.66 = 634.59/x
  3. Step 3: Cross multiply
    811.98x = 1,119.66 × 634.59
  4. Step 4: Simplify right side
    811.98x = 710,525.04
  5. Step 5: Solve for x
    x = 710,525.04/811.98
  6. Step 6: Final answer
    x = 875.05

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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.